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Finding the Fourth Proportional to 632.13, 947.99 and 242.11

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Solution

The fourth proportional to 632.13, 947.99 and 242.11 is: 363.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.13 : 947.99 = 242.11 : x
  2. Step 2: Convert to fraction form
    632.13/947.99 = 242.11/x
  3. Step 3: Cross multiply
    632.13x = 947.99 × 242.11
  4. Step 4: Simplify right side
    632.13x = 229,517.86
  5. Step 5: Solve for x
    x = 229,517.86/632.13
  6. Step 6: Final answer
    x = 363.09

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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.