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Finding the Fourth Proportional to 62.49, 86.40 and 55.20

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Solution

The fourth proportional to 62.49, 86.40 and 55.20 is: 76.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.49 : 86.40 = 55.20 : x
  2. Step 2: Convert to fraction form
    62.49/86.40 = 55.20/x
  3. Step 3: Cross multiply
    62.49x = 86.40 × 55.20
  4. Step 4: Simplify right side
    62.49x = 4,769.28
  5. Step 5: Solve for x
    x = 4,769.28/62.49
  6. Step 6: Final answer
    x = 76.32

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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.