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Finding the Fourth Proportional to 391.16, 584.30 and 333.12

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Solution

The fourth proportional to 391.16, 584.30 and 333.12 is: 497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.16 : 584.30 = 333.12 : x
  2. Step 2: Convert to fraction form
    391.16/584.30 = 333.12/x
  3. Step 3: Cross multiply
    391.16x = 584.30 × 333.12
  4. Step 4: Simplify right side
    391.16x = 194,642.02
  5. Step 5: Solve for x
    x = 194,642.02/391.16
  6. Step 6: Final answer
    x = 497.60

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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.