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Finding the Fourth Proportional to 159.90, 220.68 and 154.86

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Solution

The fourth proportional to 159.90, 220.68 and 154.86 is: 213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.90 : 220.68 = 154.86 : x
  2. Step 2: Convert to fraction form
    159.90/220.68 = 154.86/x
  3. Step 3: Cross multiply
    159.90x = 220.68 × 154.86
  4. Step 4: Simplify right side
    159.90x = 34,174.50
  5. Step 5: Solve for x
    x = 34,174.50/159.90
  6. Step 6: Final answer
    x = 213.72

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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.