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Finding the Fourth Proportional to 246.90, 371.28 and 210.44

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Solution

The fourth proportional to 246.90, 371.28 and 210.44 is: 316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.90 : 371.28 = 210.44 : x
  2. Step 2: Convert to fraction form
    246.90/371.28 = 210.44/x
  3. Step 3: Cross multiply
    246.90x = 371.28 × 210.44
  4. Step 4: Simplify right side
    246.90x = 78,132.16
  5. Step 5: Solve for x
    x = 78,132.16/246.90
  6. Step 6: Final answer
    x = 316.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.