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Finding the Fourth Proportional to 259.66, 387.28 and 254.26

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Solution

The fourth proportional to 259.66, 387.28 and 254.26 is: 379.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.66 : 387.28 = 254.26 : x
  2. Step 2: Convert to fraction form
    259.66/387.28 = 254.26/x
  3. Step 3: Cross multiply
    259.66x = 387.28 × 254.26
  4. Step 4: Simplify right side
    259.66x = 98,469.81
  5. Step 5: Solve for x
    x = 98,469.81/259.66
  6. Step 6: Final answer
    x = 379.23

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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.