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Finding the Fourth Proportional to 52.39, 72.29 and 31.66

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Solution

The fourth proportional to 52.39, 72.29 and 31.66 is: 43.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.39 : 72.29 = 31.66 : x
  2. Step 2: Convert to fraction form
    52.39/72.29 = 31.66/x
  3. Step 3: Cross multiply
    52.39x = 72.29 × 31.66
  4. Step 4: Simplify right side
    52.39x = 2,288.54
  5. Step 5: Solve for x
    x = 2,288.54/52.39
  6. Step 6: Final answer
    x = 43.69

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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.