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Finding the Fourth Proportional to 421.34, 632.44 and 177.96

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Solution

The fourth proportional to 421.34, 632.44 and 177.96 is: 267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.34 : 632.44 = 177.96 : x
  2. Step 2: Convert to fraction form
    421.34/632.44 = 177.96/x
  3. Step 3: Cross multiply
    421.34x = 632.44 × 177.96
  4. Step 4: Simplify right side
    421.34x = 112,549.02
  5. Step 5: Solve for x
    x = 112,549.02/421.34
  6. Step 6: Final answer
    x = 267.12

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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.