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Finding the Fourth Proportional to 260.10, 387.76 and 239.55

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Solution

The fourth proportional to 260.10, 387.76 and 239.55 is: 357.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.10 : 387.76 = 239.55 : x
  2. Step 2: Convert to fraction form
    260.10/387.76 = 239.55/x
  3. Step 3: Cross multiply
    260.10x = 387.76 × 239.55
  4. Step 4: Simplify right side
    260.10x = 92,887.91
  5. Step 5: Solve for x
    x = 92,887.91/260.10
  6. Step 6: Final answer
    x = 357.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.