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Finding the Fourth Proportional to 423.87, 635.70 and 146.19

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Solution

The fourth proportional to 423.87, 635.70 and 146.19 is: 219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.87 : 635.70 = 146.19 : x
  2. Step 2: Convert to fraction form
    423.87/635.70 = 146.19/x
  3. Step 3: Cross multiply
    423.87x = 635.70 × 146.19
  4. Step 4: Simplify right side
    423.87x = 92,932.98
  5. Step 5: Solve for x
    x = 92,932.98/423.87
  6. Step 6: Final answer
    x = 219.25

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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.