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Finding the Fourth Proportional to 423.46, 635.18 and 130.95

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Solution

The fourth proportional to 423.46, 635.18 and 130.95 is: 196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.46 : 635.18 = 130.95 : x
  2. Step 2: Convert to fraction form
    423.46/635.18 = 130.95/x
  3. Step 3: Cross multiply
    423.46x = 635.18 × 130.95
  4. Step 4: Simplify right side
    423.46x = 83,176.17
  5. Step 5: Solve for x
    x = 83,176.17/423.46
  6. Step 6: Final answer
    x = 196.42

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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.