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Finding the Fourth Proportional to 259.52, 387.04 and 255.20

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Solution

The fourth proportional to 259.52, 387.04 and 255.20 is: 380.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.52 : 387.04 = 255.20 : x
  2. Step 2: Convert to fraction form
    259.52/387.04 = 255.20/x
  3. Step 3: Cross multiply
    259.52x = 387.04 × 255.20
  4. Step 4: Simplify right side
    259.52x = 98,772.61
  5. Step 5: Solve for x
    x = 98,772.61/259.52
  6. Step 6: Final answer
    x = 380.60

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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.