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Finding the Fourth Proportional to 392.36, 586.22 and 323.10

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Solution

The fourth proportional to 392.36, 586.22 and 323.10 is: 482.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.36 : 586.22 = 323.10 : x
  2. Step 2: Convert to fraction form
    392.36/586.22 = 323.10/x
  3. Step 3: Cross multiply
    392.36x = 586.22 × 323.10
  4. Step 4: Simplify right side
    392.36x = 189,407.68
  5. Step 5: Solve for x
    x = 189,407.68/392.36
  6. Step 6: Final answer
    x = 482.74

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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.