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Finding the Fourth Proportional to 159.84, 221.10 and 149.55

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Solution

The fourth proportional to 159.84, 221.10 and 149.55 is: 206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.84 : 221.10 = 149.55 : x
  2. Step 2: Convert to fraction form
    159.84/221.10 = 149.55/x
  3. Step 3: Cross multiply
    159.84x = 221.10 × 149.55
  4. Step 4: Simplify right side
    159.84x = 33,064.12
  5. Step 5: Solve for x
    x = 33,064.12/159.84
  6. Step 6: Final answer
    x = 206.86

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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.