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Finding the Fourth Proportional to 52.82, 72.89 and 31.01

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Solution

The fourth proportional to 52.82, 72.89 and 31.01 is: 42.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.82 : 72.89 = 31.01 : x
  2. Step 2: Convert to fraction form
    52.82/72.89 = 31.01/x
  3. Step 3: Cross multiply
    52.82x = 72.89 × 31.01
  4. Step 4: Simplify right side
    52.82x = 2,259.95
  5. Step 5: Solve for x
    x = 2,259.95/52.82
  6. Step 6: Final answer
    x = 42.78

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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.