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Finding the Fourth Proportional to 398.34, 597.42 and 141.84

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Solution

The fourth proportional to 398.34, 597.42 and 141.84 is: 212.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.34 : 597.42 = 141.84 : x
  2. Step 2: Convert to fraction form
    398.34/597.42 = 141.84/x
  3. Step 3: Cross multiply
    398.34x = 597.42 × 141.84
  4. Step 4: Simplify right side
    398.34x = 84,738.05
  5. Step 5: Solve for x
    x = 84,738.05/398.34
  6. Step 6: Final answer
    x = 212.73

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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.