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Finding the Fourth Proportional to 398.74, 598.17 and 203.63

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Solution

The fourth proportional to 398.74, 598.17 and 203.63 is: 305.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.74 : 598.17 = 203.63 : x
  2. Step 2: Convert to fraction form
    398.74/598.17 = 203.63/x
  3. Step 3: Cross multiply
    398.74x = 598.17 × 203.63
  4. Step 4: Simplify right side
    398.74x = 121,805.90
  5. Step 5: Solve for x
    x = 121,805.90/398.74
  6. Step 6: Final answer
    x = 305.48

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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.