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Finding the Fourth Proportional to 393.52, 589.60 and 271.35

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Solution

The fourth proportional to 393.52, 589.60 and 271.35 is: 406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.52 : 589.60 = 271.35 : x
  2. Step 2: Convert to fraction form
    393.52/589.60 = 271.35/x
  3. Step 3: Cross multiply
    393.52x = 589.60 × 271.35
  4. Step 4: Simplify right side
    393.52x = 159,987.96
  5. Step 5: Solve for x
    x = 159,987.96/393.52
  6. Step 6: Final answer
    x = 406.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.