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Finding the Fourth Proportional to 423.20, 583.92 and 263.72

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Solution

The fourth proportional to 423.20, 583.92 and 263.72 is: 363.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.20 : 583.92 = 263.72 : x
  2. Step 2: Convert to fraction form
    423.20/583.92 = 263.72/x
  3. Step 3: Cross multiply
    423.20x = 583.92 × 263.72
  4. Step 4: Simplify right side
    423.20x = 153,991.38
  5. Step 5: Solve for x
    x = 153,991.38/423.20
  6. Step 6: Final answer
    x = 363.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.