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Finding the Fourth Proportional to 398.13, 597.28 and 141.63

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Solution

The fourth proportional to 398.13, 597.28 and 141.63 is: 212.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.13 : 597.28 = 141.63 : x
  2. Step 2: Convert to fraction form
    398.13/597.28 = 141.63/x
  3. Step 3: Cross multiply
    398.13x = 597.28 × 141.63
  4. Step 4: Simplify right side
    398.13x = 84,592.77
  5. Step 5: Solve for x
    x = 84,592.77/398.13
  6. Step 6: Final answer
    x = 212.48

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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.