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Finding the Fourth Proportional to 537.96, 742.38 and 305.10

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Solution

The fourth proportional to 537.96, 742.38 and 305.10 is: 421.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.96 : 742.38 = 305.10 : x
  2. Step 2: Convert to fraction form
    537.96/742.38 = 305.10/x
  3. Step 3: Cross multiply
    537.96x = 742.38 × 305.10
  4. Step 4: Simplify right side
    537.96x = 226,500.14
  5. Step 5: Solve for x
    x = 226,500.14/537.96
  6. Step 6: Final answer
    x = 421.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.