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Finding the Fourth Proportional to 507.51, 761.22 and 182.88

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Solution

The fourth proportional to 507.51, 761.22 and 182.88 is: 274.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.51 : 761.22 = 182.88 : x
  2. Step 2: Convert to fraction form
    507.51/761.22 = 182.88/x
  3. Step 3: Cross multiply
    507.51x = 761.22 × 182.88
  4. Step 4: Simplify right side
    507.51x = 139,211.91
  5. Step 5: Solve for x
    x = 139,211.91/507.51
  6. Step 6: Final answer
    x = 274.30

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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.