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Finding the Fourth Proportional to 264.97, 398.75 and 239.79

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Solution

The fourth proportional to 264.97, 398.75 and 239.79 is: 360.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.97 : 398.75 = 239.79 : x
  2. Step 2: Convert to fraction form
    264.97/398.75 = 239.79/x
  3. Step 3: Cross multiply
    264.97x = 398.75 × 239.79
  4. Step 4: Simplify right side
    264.97x = 95,615.06
  5. Step 5: Solve for x
    x = 95,615.06/264.97
  6. Step 6: Final answer
    x = 360.86

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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.