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Finding the Fourth Proportional to 537.60, 742.48 and 372.32

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Solution

The fourth proportional to 537.60, 742.48 and 372.32 is: 514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.60 : 742.48 = 372.32 : x
  2. Step 2: Convert to fraction form
    537.60/742.48 = 372.32/x
  3. Step 3: Cross multiply
    537.60x = 742.48 × 372.32
  4. Step 4: Simplify right side
    537.60x = 276,440.15
  5. Step 5: Solve for x
    x = 276,440.15/537.60
  6. Step 6: Final answer
    x = 514.21

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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.