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Finding the Fourth Proportional to 391.24, 584.35 and 314.36

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Solution

The fourth proportional to 391.24, 584.35 and 314.36 is: 469.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.24 : 584.35 = 314.36 : x
  2. Step 2: Convert to fraction form
    391.24/584.35 = 314.36/x
  3. Step 3: Cross multiply
    391.24x = 584.35 × 314.36
  4. Step 4: Simplify right side
    391.24x = 183,696.27
  5. Step 5: Solve for x
    x = 183,696.27/391.24
  6. Step 6: Final answer
    x = 469.52

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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.