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Finding the Fourth Proportional to 160.17, 220.86 and 128.99

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Solution

The fourth proportional to 160.17, 220.86 and 128.99 is: 177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.17 : 220.86 = 128.99 : x
  2. Step 2: Convert to fraction form
    160.17/220.86 = 128.99/x
  3. Step 3: Cross multiply
    160.17x = 220.86 × 128.99
  4. Step 4: Simplify right side
    160.17x = 28,489.28
  5. Step 5: Solve for x
    x = 28,489.28/160.17
  6. Step 6: Final answer
    x = 177.87

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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.