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Finding the Fourth Proportional to 391.16, 587.93 and 323.12

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Solution

The fourth proportional to 391.16, 587.93 and 323.12 is: 485.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.16 : 587.93 = 323.12 : x
  2. Step 2: Convert to fraction form
    391.16/587.93 = 323.12/x
  3. Step 3: Cross multiply
    391.16x = 587.93 × 323.12
  4. Step 4: Simplify right side
    391.16x = 189,971.80
  5. Step 5: Solve for x
    x = 189,971.80/391.16
  6. Step 6: Final answer
    x = 485.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.