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Finding the Fourth Proportional to 398.12, 596.59 and 282.78

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Solution

The fourth proportional to 398.12, 596.59 and 282.78 is: 423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.12 : 596.59 = 282.78 : x
  2. Step 2: Convert to fraction form
    398.12/596.59 = 282.78/x
  3. Step 3: Cross multiply
    398.12x = 596.59 × 282.78
  4. Step 4: Simplify right side
    398.12x = 168,706.31
  5. Step 5: Solve for x
    x = 168,706.31/398.12
  6. Step 6: Final answer
    x = 423.76

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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.