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Finding the Fourth Proportional to 392.52, 586.11 and 351.12

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Solution

The fourth proportional to 392.52, 586.11 and 351.12 is: 524.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.52 : 586.11 = 351.12 : x
  2. Step 2: Convert to fraction form
    392.52/586.11 = 351.12/x
  3. Step 3: Cross multiply
    392.52x = 586.11 × 351.12
  4. Step 4: Simplify right side
    392.52x = 205,794.94
  5. Step 5: Solve for x
    x = 205,794.94/392.52
  6. Step 6: Final answer
    x = 524.29

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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.