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Finding the Fourth Proportional to 398.73, 598.32 and 155.28

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Solution

The fourth proportional to 398.73, 598.32 and 155.28 is: 233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.73 : 598.32 = 155.28 : x
  2. Step 2: Convert to fraction form
    398.73/598.32 = 155.28/x
  3. Step 3: Cross multiply
    398.73x = 598.32 × 155.28
  4. Step 4: Simplify right side
    398.73x = 92,907.13
  5. Step 5: Solve for x
    x = 92,907.13/398.73
  6. Step 6: Final answer
    x = 233.01

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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.