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Finding the Fourth Proportional to 100.75, 151.02 and 52.57

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Solution

The fourth proportional to 100.75, 151.02 and 52.57 is: 78.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.75 : 151.02 = 52.57 : x
  2. Step 2: Convert to fraction form
    100.75/151.02 = 52.57/x
  3. Step 3: Cross multiply
    100.75x = 151.02 × 52.57
  4. Step 4: Simplify right side
    100.75x = 7,939.12
  5. Step 5: Solve for x
    x = 7,939.12/100.75
  6. Step 6: Final answer
    x = 78.80

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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.