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Finding the Fourth Proportional to 423.72, 584.56 and 257.86

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Solution

The fourth proportional to 423.72, 584.56 and 257.86 is: 355.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.72 : 584.56 = 257.86 : x
  2. Step 2: Convert to fraction form
    423.72/584.56 = 257.86/x
  3. Step 3: Cross multiply
    423.72x = 584.56 × 257.86
  4. Step 4: Simplify right side
    423.72x = 150,734.64
  5. Step 5: Solve for x
    x = 150,734.64/423.72
  6. Step 6: Final answer
    x = 355.74

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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.