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Finding the Fourth Proportional to 392.01, 585.46 and 333.61

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Solution

The fourth proportional to 392.01, 585.46 and 333.61 is: 498.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.01 : 585.46 = 333.61 : x
  2. Step 2: Convert to fraction form
    392.01/585.46 = 333.61/x
  3. Step 3: Cross multiply
    392.01x = 585.46 × 333.61
  4. Step 4: Simplify right side
    392.01x = 195,313.64
  5. Step 5: Solve for x
    x = 195,313.64/392.01
  6. Step 6: Final answer
    x = 498.24

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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.