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Finding the Fourth Proportional to 398.80, 598.08 and 155.49

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Solution

The fourth proportional to 398.80, 598.08 and 155.49 is: 233.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.80 : 598.08 = 155.49 : x
  2. Step 2: Convert to fraction form
    398.80/598.08 = 155.49/x
  3. Step 3: Cross multiply
    398.80x = 598.08 × 155.49
  4. Step 4: Simplify right side
    398.80x = 92,995.46
  5. Step 5: Solve for x
    x = 92,995.46/398.80
  6. Step 6: Final answer
    x = 233.19

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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.