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Finding the Fourth Proportional to 632.42, 948.71 and 221.60

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Solution

The fourth proportional to 632.42, 948.71 and 221.60 is: 332.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.42 : 948.71 = 221.60 : x
  2. Step 2: Convert to fraction form
    632.42/948.71 = 221.60/x
  3. Step 3: Cross multiply
    632.42x = 948.71 × 221.60
  4. Step 4: Simplify right side
    632.42x = 210,237.06
  5. Step 5: Solve for x
    x = 210,237.06/632.42
  6. Step 6: Final answer
    x = 332.43

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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.