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Finding the Fourth Proportional to 160.92, 242.55 and 153.12

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Solution

The fourth proportional to 160.92, 242.55 and 153.12 is: 230.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.92 : 242.55 = 153.12 : x
  2. Step 2: Convert to fraction form
    160.92/242.55 = 153.12/x
  3. Step 3: Cross multiply
    160.92x = 242.55 × 153.12
  4. Step 4: Simplify right side
    160.92x = 37,139.26
  5. Step 5: Solve for x
    x = 37,139.26/160.92
  6. Step 6: Final answer
    x = 230.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.