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Finding the Fourth Proportional to 165.98, 229.13 and 100.47

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Solution

The fourth proportional to 165.98, 229.13 and 100.47 is: 138.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.98 : 229.13 = 100.47 : x
  2. Step 2: Convert to fraction form
    165.98/229.13 = 100.47/x
  3. Step 3: Cross multiply
    165.98x = 229.13 × 100.47
  4. Step 4: Simplify right side
    165.98x = 23,020.69
  5. Step 5: Solve for x
    x = 23,020.69/165.98
  6. Step 6: Final answer
    x = 138.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.