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Finding the Fourth Proportional to 421.40, 632.82 and 229.40

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Solution

The fourth proportional to 421.40, 632.82 and 229.40 is: 344.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.40 : 632.82 = 229.40 : x
  2. Step 2: Convert to fraction form
    421.40/632.82 = 229.40/x
  3. Step 3: Cross multiply
    421.40x = 632.82 × 229.40
  4. Step 4: Simplify right side
    421.40x = 145,168.91
  5. Step 5: Solve for x
    x = 145,168.91/421.40
  6. Step 6: Final answer
    x = 344.49

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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.