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Finding the Fourth Proportional to 398.31, 597 and 259.29

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Solution

The fourth proportional to 398.31, 597 and 259.29 is: 388.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.31 : 597 = 259.29 : x
  2. Step 2: Convert to fraction form
    398.31/597 = 259.29/x
  3. Step 3: Cross multiply
    398.31x = 597 × 259.29
  4. Step 4: Simplify right side
    398.31x = 154,796.13
  5. Step 5: Solve for x
    x = 154,796.13/398.31
  6. Step 6: Final answer
    x = 388.63

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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.