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Finding the Fourth Proportional to 392.42, 585.84 and 330.91

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Solution

The fourth proportional to 392.42, 585.84 and 330.91 is: 494.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.42 : 585.84 = 330.91 : x
  2. Step 2: Convert to fraction form
    392.42/585.84 = 330.91/x
  3. Step 3: Cross multiply
    392.42x = 585.84 × 330.91
  4. Step 4: Simplify right side
    392.42x = 193,860.09
  5. Step 5: Solve for x
    x = 193,860.09/392.42
  6. Step 6: Final answer
    x = 494.01

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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.