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Finding the Fourth Proportional to 632.27, 948.24 and 242.12

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Solution

The fourth proportional to 632.27, 948.24 and 242.12 is: 363.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.27 : 948.24 = 242.12 : x
  2. Step 2: Convert to fraction form
    632.27/948.24 = 242.12/x
  3. Step 3: Cross multiply
    632.27x = 948.24 × 242.12
  4. Step 4: Simplify right side
    632.27x = 229,583.13
  5. Step 5: Solve for x
    x = 229,583.13/632.27
  6. Step 6: Final answer
    x = 363.11

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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.