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Finding the Fourth Proportional to 246.94, 340.82 and 148.74

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Solution

The fourth proportional to 246.94, 340.82 and 148.74 is: 205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.94 : 340.82 = 148.74 : x
  2. Step 2: Convert to fraction form
    246.94/340.82 = 148.74/x
  3. Step 3: Cross multiply
    246.94x = 340.82 × 148.74
  4. Step 4: Simplify right side
    246.94x = 50,693.57
  5. Step 5: Solve for x
    x = 50,693.57/246.94
  6. Step 6: Final answer
    x = 205.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.