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Finding the Fourth Proportional to 398.68, 596.70 and 281.32

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Solution

The fourth proportional to 398.68, 596.70 and 281.32 is: 421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.68 : 596.70 = 281.32 : x
  2. Step 2: Convert to fraction form
    398.68/596.70 = 281.32/x
  3. Step 3: Cross multiply
    398.68x = 596.70 × 281.32
  4. Step 4: Simplify right side
    398.68x = 167,863.64
  5. Step 5: Solve for x
    x = 167,863.64/398.68
  6. Step 6: Final answer
    x = 421.05

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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.