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Finding the Fourth Proportional to 106.99, 159.41 and 100.15

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Solution

The fourth proportional to 106.99, 159.41 and 100.15 is: 149.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.99 : 159.41 = 100.15 : x
  2. Step 2: Convert to fraction form
    106.99/159.41 = 100.15/x
  3. Step 3: Cross multiply
    106.99x = 159.41 × 100.15
  4. Step 4: Simplify right side
    106.99x = 15,964.76
  5. Step 5: Solve for x
    x = 15,964.76/106.99
  6. Step 6: Final answer
    x = 149.22

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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.