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Finding the Fourth Proportional to 265.96, 400.38 and 239.50

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Solution

The fourth proportional to 265.96, 400.38 and 239.50 is: 360.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.96 : 400.38 = 239.50 : x
  2. Step 2: Convert to fraction form
    265.96/400.38 = 239.50/x
  3. Step 3: Cross multiply
    265.96x = 400.38 × 239.50
  4. Step 4: Simplify right side
    265.96x = 95,891.01
  5. Step 5: Solve for x
    x = 95,891.01/265.96
  6. Step 6: Final answer
    x = 360.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.