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Finding the Fourth Proportional to 371.97, 560.21 and 314.60

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Solution

The fourth proportional to 371.97, 560.21 and 314.60 is: 473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.97 : 560.21 = 314.60 : x
  2. Step 2: Convert to fraction form
    371.97/560.21 = 314.60/x
  3. Step 3: Cross multiply
    371.97x = 560.21 × 314.60
  4. Step 4: Simplify right side
    371.97x = 176,237.69
  5. Step 5: Solve for x
    x = 176,237.69/371.97
  6. Step 6: Final answer
    x = 473.80

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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.