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Finding the Fourth Proportional to 371.44, 508.88 and 357.60

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Solution

The fourth proportional to 371.44, 508.88 and 357.60 is: 489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.44 : 508.88 = 357.60 : x
  2. Step 2: Convert to fraction form
    371.44/508.88 = 357.60/x
  3. Step 3: Cross multiply
    371.44x = 508.88 × 357.60
  4. Step 4: Simplify right side
    371.44x = 181,975.49
  5. Step 5: Solve for x
    x = 181,975.49/371.44
  6. Step 6: Final answer
    x = 489.92

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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.