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Finding the Fourth Proportional to 72.31, 108.38 and 55.14

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Solution

The fourth proportional to 72.31, 108.38 and 55.14 is: 82.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.31 : 108.38 = 55.14 : x
  2. Step 2: Convert to fraction form
    72.31/108.38 = 55.14/x
  3. Step 3: Cross multiply
    72.31x = 108.38 × 55.14
  4. Step 4: Simplify right side
    72.31x = 5,975.80
  5. Step 5: Solve for x
    x = 5,975.80/72.31
  6. Step 6: Final answer
    x = 82.64

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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.