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Finding the Fourth Proportional to 100.02, 149.78 and 74.52

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Solution

The fourth proportional to 100.02, 149.78 and 74.52 is: 111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.02 : 149.78 = 74.52 : x
  2. Step 2: Convert to fraction form
    100.02/149.78 = 74.52/x
  3. Step 3: Cross multiply
    100.02x = 149.78 × 74.52
  4. Step 4: Simplify right side
    100.02x = 11,161.61
  5. Step 5: Solve for x
    x = 11,161.61/100.02
  6. Step 6: Final answer
    x = 111.59

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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.