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Finding the Fourth Proportional to 252.15, 375.22 and 242.43

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Solution

The fourth proportional to 252.15, 375.22 and 242.43 is: 360.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.15 : 375.22 = 242.43 : x
  2. Step 2: Convert to fraction form
    252.15/375.22 = 242.43/x
  3. Step 3: Cross multiply
    252.15x = 375.22 × 242.43
  4. Step 4: Simplify right side
    252.15x = 90,964.58
  5. Step 5: Solve for x
    x = 90,964.58/252.15
  6. Step 6: Final answer
    x = 360.76

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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.