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Finding the Fourth Proportional to 652.97, 979.63 and 242.12

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Solution

The fourth proportional to 652.97, 979.63 and 242.12 is: 363.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.97 : 979.63 = 242.12 : x
  2. Step 2: Convert to fraction form
    652.97/979.63 = 242.12/x
  3. Step 3: Cross multiply
    652.97x = 979.63 × 242.12
  4. Step 4: Simplify right side
    652.97x = 237,189.86
  5. Step 5: Solve for x
    x = 237,189.86/652.97
  6. Step 6: Final answer
    x = 363.25

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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.