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Finding the Fourth Proportional to 259.89, 356.51 and 254.49

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Solution

The fourth proportional to 259.89, 356.51 and 254.49 is: 349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.89 : 356.51 = 254.49 : x
  2. Step 2: Convert to fraction form
    259.89/356.51 = 254.49/x
  3. Step 3: Cross multiply
    259.89x = 356.51 × 254.49
  4. Step 4: Simplify right side
    259.89x = 90,726.96
  5. Step 5: Solve for x
    x = 90,726.96/259.89
  6. Step 6: Final answer
    x = 349.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.