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Finding the Fourth Proportional to 246.75, 340.50 and 153.46

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Solution

The fourth proportional to 246.75, 340.50 and 153.46 is: 211.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.75 : 340.50 = 153.46 : x
  2. Step 2: Convert to fraction form
    246.75/340.50 = 153.46/x
  3. Step 3: Cross multiply
    246.75x = 340.50 × 153.46
  4. Step 4: Simplify right side
    246.75x = 52,253.13
  5. Step 5: Solve for x
    x = 52,253.13/246.75
  6. Step 6: Final answer
    x = 211.77

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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.