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Finding the Fourth Proportional to 507.89, 761.90 and 234.24

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Solution

The fourth proportional to 507.89, 761.90 and 234.24 is: 351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.89 : 761.90 = 234.24 : x
  2. Step 2: Convert to fraction form
    507.89/761.90 = 234.24/x
  3. Step 3: Cross multiply
    507.89x = 761.90 × 234.24
  4. Step 4: Simplify right side
    507.89x = 178,466.28
  5. Step 5: Solve for x
    x = 178,466.28/507.89
  6. Step 6: Final answer
    x = 351.39

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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.