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Finding the Fourth Proportional to 100.48, 150.81 and 39.66

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Solution

The fourth proportional to 100.48, 150.81 and 39.66 is: 59.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.48 : 150.81 = 39.66 : x
  2. Step 2: Convert to fraction form
    100.48/150.81 = 39.66/x
  3. Step 3: Cross multiply
    100.48x = 150.81 × 39.66
  4. Step 4: Simplify right side
    100.48x = 5,980.95
  5. Step 5: Solve for x
    x = 5,980.95/100.48
  6. Step 6: Final answer
    x = 59.52

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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.