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Finding the Fourth Proportional to 249.60, 372 and 242.56

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Solution

The fourth proportional to 249.60, 372 and 242.56 is: 361.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.60 : 372 = 242.56 : x
  2. Step 2: Convert to fraction form
    249.60/372 = 242.56/x
  3. Step 3: Cross multiply
    249.60x = 372 × 242.56
  4. Step 4: Simplify right side
    249.60x = 90,232.32
  5. Step 5: Solve for x
    x = 90,232.32/249.60
  6. Step 6: Final answer
    x = 361.51

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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.