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Finding the Fourth Proportional to 52.16, 71.96 and 31.43

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Solution

The fourth proportional to 52.16, 71.96 and 31.43 is: 43.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.16 : 71.96 = 31.43 : x
  2. Step 2: Convert to fraction form
    52.16/71.96 = 31.43/x
  3. Step 3: Cross multiply
    52.16x = 71.96 × 31.43
  4. Step 4: Simplify right side
    52.16x = 2,261.70
  5. Step 5: Solve for x
    x = 2,261.70/52.16
  6. Step 6: Final answer
    x = 43.36

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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.