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Finding the Fourth Proportional to 353.82, 487.92 and 270.01

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Solution

The fourth proportional to 353.82, 487.92 and 270.01 is: 372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.82 : 487.92 = 270.01 : x
  2. Step 2: Convert to fraction form
    353.82/487.92 = 270.01/x
  3. Step 3: Cross multiply
    353.82x = 487.92 × 270.01
  4. Step 4: Simplify right side
    353.82x = 131,743.53
  5. Step 5: Solve for x
    x = 131,743.53/353.82
  6. Step 6: Final answer
    x = 372.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.