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Finding the Fourth Proportional to 632.68, 948.96 and 221.74

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Solution

The fourth proportional to 632.68, 948.96 and 221.74 is: 332.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.68 : 948.96 = 221.74 : x
  2. Step 2: Convert to fraction form
    632.68/948.96 = 221.74/x
  3. Step 3: Cross multiply
    632.68x = 948.96 × 221.74
  4. Step 4: Simplify right side
    632.68x = 210,422.39
  5. Step 5: Solve for x
    x = 210,422.39/632.68
  6. Step 6: Final answer
    x = 332.59

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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.