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Finding the Fourth Proportional to 162.59, 242.78 and 142.92

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Solution

The fourth proportional to 162.59, 242.78 and 142.92 is: 213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.59 : 242.78 = 142.92 : x
  2. Step 2: Convert to fraction form
    162.59/242.78 = 142.92/x
  3. Step 3: Cross multiply
    162.59x = 242.78 × 142.92
  4. Step 4: Simplify right side
    162.59x = 34,698.12
  5. Step 5: Solve for x
    x = 34,698.12/162.59
  6. Step 6: Final answer
    x = 213.41

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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.