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Finding the Fourth Proportional to 163.28, 242.98 and 159.92

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Solution

The fourth proportional to 163.28, 242.98 and 159.92 is: 237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.28 : 242.98 = 159.92 : x
  2. Step 2: Convert to fraction form
    163.28/242.98 = 159.92/x
  3. Step 3: Cross multiply
    163.28x = 242.98 × 159.92
  4. Step 4: Simplify right side
    163.28x = 38,857.36
  5. Step 5: Solve for x
    x = 38,857.36/163.28
  6. Step 6: Final answer
    x = 237.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.