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Finding the Fourth Proportional to 159.52, 220.07 and 118.17

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Solution

The fourth proportional to 159.52, 220.07 and 118.17 is: 163.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.52 : 220.07 = 118.17 : x
  2. Step 2: Convert to fraction form
    159.52/220.07 = 118.17/x
  3. Step 3: Cross multiply
    159.52x = 220.07 × 118.17
  4. Step 4: Simplify right side
    159.52x = 26,005.08
  5. Step 5: Solve for x
    x = 26,005.08/159.52
  6. Step 6: Final answer
    x = 163.03

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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.