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Finding the Fourth Proportional to 391.16, 583.74 and 350.17

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Solution

The fourth proportional to 391.16, 583.74 and 350.17 is: 522.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.16 : 583.74 = 350.17 : x
  2. Step 2: Convert to fraction form
    391.16/583.74 = 350.17/x
  3. Step 3: Cross multiply
    391.16x = 583.74 × 350.17
  4. Step 4: Simplify right side
    391.16x = 204,406.78
  5. Step 5: Solve for x
    x = 204,406.78/391.16
  6. Step 6: Final answer
    x = 522.56

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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.