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Finding the Fourth Proportional to 106.31, 159.50 and 42.19

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Solution

The fourth proportional to 106.31, 159.50 and 42.19 is: 63.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.31 : 159.50 = 42.19 : x
  2. Step 2: Convert to fraction form
    106.31/159.50 = 42.19/x
  3. Step 3: Cross multiply
    106.31x = 159.50 × 42.19
  4. Step 4: Simplify right side
    106.31x = 6,729.01
  5. Step 5: Solve for x
    x = 6,729.01/106.31
  6. Step 6: Final answer
    x = 63.29

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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.