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Finding the Fourth Proportional to 392.01, 584.04 and 388.16

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Solution

The fourth proportional to 392.01, 584.04 and 388.16 is: 578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.01 : 584.04 = 388.16 : x
  2. Step 2: Convert to fraction form
    392.01/584.04 = 388.16/x
  3. Step 3: Cross multiply
    392.01x = 584.04 × 388.16
  4. Step 4: Simplify right side
    392.01x = 226,700.24
  5. Step 5: Solve for x
    x = 226,700.24/392.01
  6. Step 6: Final answer
    x = 578.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.