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Finding the Fourth Proportional to 159.76, 220.50 and 118.60

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Solution

The fourth proportional to 159.76, 220.50 and 118.60 is: 163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.76 : 220.50 = 118.60 : x
  2. Step 2: Convert to fraction form
    159.76/220.50 = 118.60/x
  3. Step 3: Cross multiply
    159.76x = 220.50 × 118.60
  4. Step 4: Simplify right side
    159.76x = 26,151.30
  5. Step 5: Solve for x
    x = 26,151.30/159.76
  6. Step 6: Final answer
    x = 163.69

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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.