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Finding the Fourth Proportional to 507.39, 761.08 and 182.75

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Solution

The fourth proportional to 507.39, 761.08 and 182.75 is: 274.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.39 : 761.08 = 182.75 : x
  2. Step 2: Convert to fraction form
    507.39/761.08 = 182.75/x
  3. Step 3: Cross multiply
    507.39x = 761.08 × 182.75
  4. Step 4: Simplify right side
    507.39x = 139,086.46
  5. Step 5: Solve for x
    x = 139,086.46/507.39
  6. Step 6: Final answer
    x = 274.12

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Similar ratio
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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.