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Finding the Fourth Proportional to 393.53, 591.90 and 356.27

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Solution

The fourth proportional to 393.53, 591.90 and 356.27 is: 535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.53 : 591.90 = 356.27 : x
  2. Step 2: Convert to fraction form
    393.53/591.90 = 356.27/x
  3. Step 3: Cross multiply
    393.53x = 591.90 × 356.27
  4. Step 4: Simplify right side
    393.53x = 210,873.25
  5. Step 5: Solve for x
    x = 210,873.25/393.53
  6. Step 6: Final answer
    x = 535.86

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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.