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Finding the Fourth Proportional to 106.25, 158.29 and 101.59

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Solution

The fourth proportional to 106.25, 158.29 and 101.59 is: 151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.25 : 158.29 = 101.59 : x
  2. Step 2: Convert to fraction form
    106.25/158.29 = 101.59/x
  3. Step 3: Cross multiply
    106.25x = 158.29 × 101.59
  4. Step 4: Simplify right side
    106.25x = 16,080.03
  5. Step 5: Solve for x
    x = 16,080.03/106.25
  6. Step 6: Final answer
    x = 151.35

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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.