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Finding the Fourth Proportional to 398.98, 598.27 and 289.29

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Solution

The fourth proportional to 398.98, 598.27 and 289.29 is: 433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.98 : 598.27 = 289.29 : x
  2. Step 2: Convert to fraction form
    398.98/598.27 = 289.29/x
  3. Step 3: Cross multiply
    398.98x = 598.27 × 289.29
  4. Step 4: Simplify right side
    398.98x = 173,073.53
  5. Step 5: Solve for x
    x = 173,073.53/398.98
  6. Step 6: Final answer
    x = 433.79

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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.