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Finding the Fourth Proportional to 371.54, 559.52 and 314.13

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Solution

The fourth proportional to 371.54, 559.52 and 314.13 is: 473.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.54 : 559.52 = 314.13 : x
  2. Step 2: Convert to fraction form
    371.54/559.52 = 314.13/x
  3. Step 3: Cross multiply
    371.54x = 559.52 × 314.13
  4. Step 4: Simplify right side
    371.54x = 175,760.45
  5. Step 5: Solve for x
    x = 175,760.45/371.54
  6. Step 6: Final answer
    x = 473.07

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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.