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Finding the Fourth Proportional to 392.68, 591.78 and 353.69

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Solution

The fourth proportional to 392.68, 591.78 and 353.69 is: 533.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.68 : 591.78 = 353.69 : x
  2. Step 2: Convert to fraction form
    392.68/591.78 = 353.69/x
  3. Step 3: Cross multiply
    392.68x = 591.78 × 353.69
  4. Step 4: Simplify right side
    392.68x = 209,304.70
  5. Step 5: Solve for x
    x = 209,304.70/392.68
  6. Step 6: Final answer
    x = 533.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.