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Finding the Fourth Proportional to 246.54, 338.01 and 242.76

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Solution

The fourth proportional to 246.54, 338.01 and 242.76 is: 332.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.54 : 338.01 = 242.76 : x
  2. Step 2: Convert to fraction form
    246.54/338.01 = 242.76/x
  3. Step 3: Cross multiply
    246.54x = 338.01 × 242.76
  4. Step 4: Simplify right side
    246.54x = 82,055.31
  5. Step 5: Solve for x
    x = 82,055.31/246.54
  6. Step 6: Final answer
    x = 332.83

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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.