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Finding the Fourth Proportional to 371.49, 553.01 and 353.80

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Solution

The fourth proportional to 371.49, 553.01 and 353.80 is: 526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.49 : 553.01 = 353.80 : x
  2. Step 2: Convert to fraction form
    371.49/553.01 = 353.80/x
  3. Step 3: Cross multiply
    371.49x = 553.01 × 353.80
  4. Step 4: Simplify right side
    371.49x = 195,654.94
  5. Step 5: Solve for x
    x = 195,654.94/371.49
  6. Step 6: Final answer
    x = 526.68

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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.