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Finding the Fourth Proportional to 160.53, 220.83 and 130.76

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Solution

The fourth proportional to 160.53, 220.83 and 130.76 is: 179.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.53 : 220.83 = 130.76 : x
  2. Step 2: Convert to fraction form
    160.53/220.83 = 130.76/x
  3. Step 3: Cross multiply
    160.53x = 220.83 × 130.76
  4. Step 4: Simplify right side
    160.53x = 28,876.21
  5. Step 5: Solve for x
    x = 28,876.21/160.53
  6. Step 6: Final answer
    x = 179.88

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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.