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Finding the Fourth Proportional to 398.50, 598.05 and 193.19

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Solution

The fourth proportional to 398.50, 598.05 and 193.19 is: 289.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.50 : 598.05 = 193.19 : x
  2. Step 2: Convert to fraction form
    398.50/598.05 = 193.19/x
  3. Step 3: Cross multiply
    398.50x = 598.05 × 193.19
  4. Step 4: Simplify right side
    398.50x = 115,534.29
  5. Step 5: Solve for x
    x = 115,534.29/398.50
  6. Step 6: Final answer
    x = 289.92

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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.