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Finding the Fourth Proportional to 588.31, 882.51 and 198.31

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Solution

The fourth proportional to 588.31, 882.51 and 198.31 is: 297.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.31 : 882.51 = 198.31 : x
  2. Step 2: Convert to fraction form
    588.31/882.51 = 198.31/x
  3. Step 3: Cross multiply
    588.31x = 882.51 × 198.31
  4. Step 4: Simplify right side
    588.31x = 175,007.36
  5. Step 5: Solve for x
    x = 175,007.36/588.31
  6. Step 6: Final answer
    x = 297.48

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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.