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Finding the Fourth Proportional to 106.66, 158.17 and 105.31

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Solution

The fourth proportional to 106.66, 158.17 and 105.31 is: 156.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.66 : 158.17 = 105.31 : x
  2. Step 2: Convert to fraction form
    106.66/158.17 = 105.31/x
  3. Step 3: Cross multiply
    106.66x = 158.17 × 105.31
  4. Step 4: Simplify right side
    106.66x = 16,656.88
  5. Step 5: Solve for x
    x = 16,656.88/106.66
  6. Step 6: Final answer
    x = 156.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.