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Finding the Fourth Proportional to 392.13, 585.72 and 326.70

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Solution

The fourth proportional to 392.13, 585.72 and 326.70 is: 487.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.13 : 585.72 = 326.70 : x
  2. Step 2: Convert to fraction form
    392.13/585.72 = 326.70/x
  3. Step 3: Cross multiply
    392.13x = 585.72 × 326.70
  4. Step 4: Simplify right side
    392.13x = 191,354.72
  5. Step 5: Solve for x
    x = 191,354.72/392.13
  6. Step 6: Final answer
    x = 487.99

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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.