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Finding the Fourth Proportional to 423.53, 584.58 and 257.85

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Solution

The fourth proportional to 423.53, 584.58 and 257.85 is: 355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.53 : 584.58 = 257.85 : x
  2. Step 2: Convert to fraction form
    423.53/584.58 = 257.85/x
  3. Step 3: Cross multiply
    423.53x = 584.58 × 257.85
  4. Step 4: Simplify right side
    423.53x = 150,733.95
  5. Step 5: Solve for x
    x = 150,733.95/423.53
  6. Step 6: Final answer
    x = 355.90

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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.