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Finding the Fourth Proportional to 160.90, 221.55 and 147.74

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Solution

The fourth proportional to 160.90, 221.55 and 147.74 is: 203.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.90 : 221.55 = 147.74 : x
  2. Step 2: Convert to fraction form
    160.90/221.55 = 147.74/x
  3. Step 3: Cross multiply
    160.90x = 221.55 × 147.74
  4. Step 4: Simplify right side
    160.90x = 32,731.80
  5. Step 5: Solve for x
    x = 32,731.80/160.90
  6. Step 6: Final answer
    x = 203.43

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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.