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Finding the Fourth Proportional to 391.17, 587.07 and 275.85

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Solution

The fourth proportional to 391.17, 587.07 and 275.85 is: 414.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.17 : 587.07 = 275.85 : x
  2. Step 2: Convert to fraction form
    391.17/587.07 = 275.85/x
  3. Step 3: Cross multiply
    391.17x = 587.07 × 275.85
  4. Step 4: Simplify right side
    391.17x = 161,943.26
  5. Step 5: Solve for x
    x = 161,943.26/391.17
  6. Step 6: Final answer
    x = 414.00

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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.