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Finding the Fourth Proportional to 371.72, 554.24 and 314.28

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Solution

The fourth proportional to 371.72, 554.24 and 314.28 is: 468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.72 : 554.24 = 314.28 : x
  2. Step 2: Convert to fraction form
    371.72/554.24 = 314.28/x
  3. Step 3: Cross multiply
    371.72x = 554.24 × 314.28
  4. Step 4: Simplify right side
    371.72x = 174,187.33
  5. Step 5: Solve for x
    x = 174,187.33/371.72
  6. Step 6: Final answer
    x = 468.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.