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Finding the Fourth Proportional to 392.16, 591.69 and 388.92

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Solution

The fourth proportional to 392.16, 591.69 and 388.92 is: 586.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.16 : 591.69 = 388.92 : x
  2. Step 2: Convert to fraction form
    392.16/591.69 = 388.92/x
  3. Step 3: Cross multiply
    392.16x = 591.69 × 388.92
  4. Step 4: Simplify right side
    392.16x = 230,120.07
  5. Step 5: Solve for x
    x = 230,120.07/392.16
  6. Step 6: Final answer
    x = 586.80

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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.