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Finding the Fourth Proportional to 160.79, 242.49 and 143.17

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Solution

The fourth proportional to 160.79, 242.49 and 143.17 is: 215.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.79 : 242.49 = 143.17 : x
  2. Step 2: Convert to fraction form
    160.79/242.49 = 143.17/x
  3. Step 3: Cross multiply
    160.79x = 242.49 × 143.17
  4. Step 4: Simplify right side
    160.79x = 34,717.22
  5. Step 5: Solve for x
    x = 34,717.22/160.79
  6. Step 6: Final answer
    x = 215.92

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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.