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Finding the Fourth Proportional to 632.58, 949.31 and 221.72

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Solution

The fourth proportional to 632.58, 949.31 and 221.72 is: 332.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.58 : 949.31 = 221.72 : x
  2. Step 2: Convert to fraction form
    632.58/949.31 = 221.72/x
  3. Step 3: Cross multiply
    632.58x = 949.31 × 221.72
  4. Step 4: Simplify right side
    632.58x = 210,475.16
  5. Step 5: Solve for x
    x = 210,475.16/632.58
  6. Step 6: Final answer
    x = 332.72

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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.