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Finding the Fourth Proportional to 423.60, 584.84 and 257.88

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Solution

The fourth proportional to 423.60, 584.84 and 257.88 is: 356.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.60 : 584.84 = 257.88 : x
  2. Step 2: Convert to fraction form
    423.60/584.84 = 257.88/x
  3. Step 3: Cross multiply
    423.60x = 584.84 × 257.88
  4. Step 4: Simplify right side
    423.60x = 150,818.54
  5. Step 5: Solve for x
    x = 150,818.54/423.60
  6. Step 6: Final answer
    x = 356.04

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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.