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Finding the Fourth Proportional to 159.85, 220.63 and 101.62

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Solution

The fourth proportional to 159.85, 220.63 and 101.62 is: 140.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.85 : 220.63 = 101.62 : x
  2. Step 2: Convert to fraction form
    159.85/220.63 = 101.62/x
  3. Step 3: Cross multiply
    159.85x = 220.63 × 101.62
  4. Step 4: Simplify right side
    159.85x = 22,420.42
  5. Step 5: Solve for x
    x = 22,420.42/159.85
  6. Step 6: Final answer
    x = 140.26

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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.