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Finding the Fourth Proportional to 507.50, 761.22 and 178.41

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Solution

The fourth proportional to 507.50, 761.22 and 178.41 is: 267.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.50 : 761.22 = 178.41 : x
  2. Step 2: Convert to fraction form
    507.50/761.22 = 178.41/x
  3. Step 3: Cross multiply
    507.50x = 761.22 × 178.41
  4. Step 4: Simplify right side
    507.50x = 135,812.11
  5. Step 5: Solve for x
    x = 135,812.11/507.50
  6. Step 6: Final answer
    x = 267.61

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.