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Finding the Fourth Proportional to 398.19, 597.33 and 193.11

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Solution

The fourth proportional to 398.19, 597.33 and 193.11 is: 289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.19 : 597.33 = 193.11 : x
  2. Step 2: Convert to fraction form
    398.19/597.33 = 193.11/x
  3. Step 3: Cross multiply
    398.19x = 597.33 × 193.11
  4. Step 4: Simplify right side
    398.19x = 115,350.40
  5. Step 5: Solve for x
    x = 115,350.40/398.19
  6. Step 6: Final answer
    x = 289.69

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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.