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Finding the Fourth Proportional to 107.13, 159.92 and 100.31

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Solution

The fourth proportional to 107.13, 159.92 and 100.31 is: 149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.13 : 159.92 = 100.31 : x
  2. Step 2: Convert to fraction form
    107.13/159.92 = 100.31/x
  3. Step 3: Cross multiply
    107.13x = 159.92 × 100.31
  4. Step 4: Simplify right side
    107.13x = 16,041.58
  5. Step 5: Solve for x
    x = 16,041.58/107.13
  6. Step 6: Final answer
    x = 149.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.