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Finding the Fourth Proportional to 106.22, 158.15 and 104.71

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Solution

The fourth proportional to 106.22, 158.15 and 104.71 is: 155.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.22 : 158.15 = 104.71 : x
  2. Step 2: Convert to fraction form
    106.22/158.15 = 104.71/x
  3. Step 3: Cross multiply
    106.22x = 158.15 × 104.71
  4. Step 4: Simplify right side
    106.22x = 16,559.46
  5. Step 5: Solve for x
    x = 16,559.46/106.22
  6. Step 6: Final answer
    x = 155.89

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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.