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Finding the Fourth Proportional to 392.10, 590.85 and 325.13

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Solution

The fourth proportional to 392.10, 590.85 and 325.13 is: 489.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.10 : 590.85 = 325.13 : x
  2. Step 2: Convert to fraction form
    392.10/590.85 = 325.13/x
  3. Step 3: Cross multiply
    392.10x = 590.85 × 325.13
  4. Step 4: Simplify right side
    392.10x = 192,103.06
  5. Step 5: Solve for x
    x = 192,103.06/392.10
  6. Step 6: Final answer
    x = 489.93

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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.