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Finding the Fourth Proportional to 160.72, 221.56 and 127.48

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Solution

The fourth proportional to 160.72, 221.56 and 127.48 is: 175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.72 : 221.56 = 127.48 : x
  2. Step 2: Convert to fraction form
    160.72/221.56 = 127.48/x
  3. Step 3: Cross multiply
    160.72x = 221.56 × 127.48
  4. Step 4: Simplify right side
    160.72x = 28,244.47
  5. Step 5: Solve for x
    x = 28,244.47/160.72
  6. Step 6: Final answer
    x = 175.74

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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.