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Finding the Fourth Proportional to 242.69, 363.85 and 112.77

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Solution

The fourth proportional to 242.69, 363.85 and 112.77 is: 169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.69 : 363.85 = 112.77 : x
  2. Step 2: Convert to fraction form
    242.69/363.85 = 112.77/x
  3. Step 3: Cross multiply
    242.69x = 363.85 × 112.77
  4. Step 4: Simplify right side
    242.69x = 41,031.08
  5. Step 5: Solve for x
    x = 41,031.08/242.69
  6. Step 6: Final answer
    x = 169.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.