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Finding the Fourth Proportional to 72.42, 108.40 and 38.14

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Solution

The fourth proportional to 72.42, 108.40 and 38.14 is: 57.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.42 : 108.40 = 38.14 : x
  2. Step 2: Convert to fraction form
    72.42/108.40 = 38.14/x
  3. Step 3: Cross multiply
    72.42x = 108.40 × 38.14
  4. Step 4: Simplify right side
    72.42x = 4,133.83
  5. Step 5: Solve for x
    x = 4,133.83/72.42
  6. Step 6: Final answer
    x = 57.08

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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.