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Finding the Fourth Proportional to 371.10, 508.40 and 357.25

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Solution

The fourth proportional to 371.10, 508.40 and 357.25 is: 489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.10 : 508.40 = 357.25 : x
  2. Step 2: Convert to fraction form
    371.10/508.40 = 357.25/x
  3. Step 3: Cross multiply
    371.10x = 508.40 × 357.25
  4. Step 4: Simplify right side
    371.10x = 181,625.90
  5. Step 5: Solve for x
    x = 181,625.90/371.10
  6. Step 6: Final answer
    x = 489.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.