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Finding the Fourth Proportional to 101.47, 152.19 and 29.31

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Solution

The fourth proportional to 101.47, 152.19 and 29.31 is: 43.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.47 : 152.19 = 29.31 : x
  2. Step 2: Convert to fraction form
    101.47/152.19 = 29.31/x
  3. Step 3: Cross multiply
    101.47x = 152.19 × 29.31
  4. Step 4: Simplify right side
    101.47x = 4,460.69
  5. Step 5: Solve for x
    x = 4,460.69/101.47
  6. Step 6: Final answer
    x = 43.96

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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.