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Finding the Fourth Proportional to 393.99, 591.25 and 211.52

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Solution

The fourth proportional to 393.99, 591.25 and 211.52 is: 317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.99 : 591.25 = 211.52 : x
  2. Step 2: Convert to fraction form
    393.99/591.25 = 211.52/x
  3. Step 3: Cross multiply
    393.99x = 591.25 × 211.52
  4. Step 4: Simplify right side
    393.99x = 125,061.20
  5. Step 5: Solve for x
    x = 125,061.20/393.99
  6. Step 6: Final answer
    x = 317.42

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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.