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Finding the Fourth Proportional to 73.17, 100.90 and 52.55

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Solution

The fourth proportional to 73.17, 100.90 and 52.55 is: 72.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.17 : 100.90 = 52.55 : x
  2. Step 2: Convert to fraction form
    73.17/100.90 = 52.55/x
  3. Step 3: Cross multiply
    73.17x = 100.90 × 52.55
  4. Step 4: Simplify right side
    73.17x = 5,301.86
  5. Step 5: Solve for x
    x = 5,301.86/73.17
  6. Step 6: Final answer
    x = 72.46

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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.