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Finding the Fourth Proportional to 165.31, 227.61 and 116.10

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Solution

The fourth proportional to 165.31, 227.61 and 116.10 is: 159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.31 : 227.61 = 116.10 : x
  2. Step 2: Convert to fraction form
    165.31/227.61 = 116.10/x
  3. Step 3: Cross multiply
    165.31x = 227.61 × 116.10
  4. Step 4: Simplify right side
    165.31x = 26,425.52
  5. Step 5: Solve for x
    x = 26,425.52/165.31
  6. Step 6: Final answer
    x = 159.86

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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.