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Finding the Fourth Proportional to 249.64, 375.95 and 225.60

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Solution

The fourth proportional to 249.64, 375.95 and 225.60 is: 339.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.64 : 375.95 = 225.60 : x
  2. Step 2: Convert to fraction form
    249.64/375.95 = 225.60/x
  3. Step 3: Cross multiply
    249.64x = 375.95 × 225.60
  4. Step 4: Simplify right side
    249.64x = 84,814.32
  5. Step 5: Solve for x
    x = 84,814.32/249.64
  6. Step 6: Final answer
    x = 339.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.