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Finding the Fourth Proportional to 246.40, 371.56 and 217.60

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Solution

The fourth proportional to 246.40, 371.56 and 217.60 is: 328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.40 : 371.56 = 217.60 : x
  2. Step 2: Convert to fraction form
    246.40/371.56 = 217.60/x
  3. Step 3: Cross multiply
    246.40x = 371.56 × 217.60
  4. Step 4: Simplify right side
    246.40x = 80,851.46
  5. Step 5: Solve for x
    x = 80,851.46/246.40
  6. Step 6: Final answer
    x = 328.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.