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Finding the Fourth Proportional to 254.64, 349.32 and 249.24

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Solution

The fourth proportional to 254.64, 349.32 and 249.24 is: 341.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.64 : 349.32 = 249.24 : x
  2. Step 2: Convert to fraction form
    254.64/349.32 = 249.24/x
  3. Step 3: Cross multiply
    254.64x = 349.32 × 249.24
  4. Step 4: Simplify right side
    254.64x = 87,064.52
  5. Step 5: Solve for x
    x = 87,064.52/254.64
  6. Step 6: Final answer
    x = 341.91

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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.