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Finding the Fourth Proportional to 391.25, 586.25 and 246.66

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Solution

The fourth proportional to 391.25, 586.25 and 246.66 is: 369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.25 : 586.25 = 246.66 : x
  2. Step 2: Convert to fraction form
    391.25/586.25 = 246.66/x
  3. Step 3: Cross multiply
    391.25x = 586.25 × 246.66
  4. Step 4: Simplify right side
    391.25x = 144,605.04
  5. Step 5: Solve for x
    x = 144,605.04/391.25
  6. Step 6: Final answer
    x = 369.60

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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.