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Finding the Fourth Proportional to 391.28, 584.10 and 362.79

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Solution

The fourth proportional to 391.28, 584.10 and 362.79 is: 541.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.28 : 584.10 = 362.79 : x
  2. Step 2: Convert to fraction form
    391.28/584.10 = 362.79/x
  3. Step 3: Cross multiply
    391.28x = 584.10 × 362.79
  4. Step 4: Simplify right side
    391.28x = 211,905.64
  5. Step 5: Solve for x
    x = 211,905.64/391.28
  6. Step 6: Final answer
    x = 541.58

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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.