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Finding the Fourth Proportional to 632.28, 948.57 and 221.46

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Solution

The fourth proportional to 632.28, 948.57 and 221.46 is: 332.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.28 : 948.57 = 221.46 : x
  2. Step 2: Convert to fraction form
    632.28/948.57 = 221.46/x
  3. Step 3: Cross multiply
    632.28x = 948.57 × 221.46
  4. Step 4: Simplify right side
    632.28x = 210,065.57
  5. Step 5: Solve for x
    x = 210,065.57/632.28
  6. Step 6: Final answer
    x = 332.24

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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.