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Finding the Fourth Proportional to 253.92, 352.02 and 242.16

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Solution

The fourth proportional to 253.92, 352.02 and 242.16 is: 335.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.92 : 352.02 = 242.16 : x
  2. Step 2: Convert to fraction form
    253.92/352.02 = 242.16/x
  3. Step 3: Cross multiply
    253.92x = 352.02 × 242.16
  4. Step 4: Simplify right side
    253.92x = 85,245.16
  5. Step 5: Solve for x
    x = 85,245.16/253.92
  6. Step 6: Final answer
    x = 335.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.