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Finding the Fourth Proportional to 398.60, 596.67 and 282.50

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Solution

The fourth proportional to 398.60, 596.67 and 282.50 is: 422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.60 : 596.67 = 282.50 : x
  2. Step 2: Convert to fraction form
    398.60/596.67 = 282.50/x
  3. Step 3: Cross multiply
    398.60x = 596.67 × 282.50
  4. Step 4: Simplify right side
    398.60x = 168,559.28
  5. Step 5: Solve for x
    x = 168,559.28/398.60
  6. Step 6: Final answer
    x = 422.88

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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.