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Finding the Fourth Proportional to 246.91, 340.49 and 158.29

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Solution

The fourth proportional to 246.91, 340.49 and 158.29 is: 218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.91 : 340.49 = 158.29 : x
  2. Step 2: Convert to fraction form
    246.91/340.49 = 158.29/x
  3. Step 3: Cross multiply
    246.91x = 340.49 × 158.29
  4. Step 4: Simplify right side
    246.91x = 53,894.46
  5. Step 5: Solve for x
    x = 53,894.46/246.91
  6. Step 6: Final answer
    x = 218.28

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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.