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Finding the Fourth Proportional to 160.71, 220.17 and 154.55

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Solution

The fourth proportional to 160.71, 220.17 and 154.55 is: 211.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.71 : 220.17 = 154.55 : x
  2. Step 2: Convert to fraction form
    160.71/220.17 = 154.55/x
  3. Step 3: Cross multiply
    160.71x = 220.17 × 154.55
  4. Step 4: Simplify right side
    160.71x = 34,026.17
  5. Step 5: Solve for x
    x = 34,026.17/160.71
  6. Step 6: Final answer
    x = 211.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.