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Finding the Fourth Proportional to 391.66, 540.14 and 260.44

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Solution

The fourth proportional to 391.66, 540.14 and 260.44 is: 359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.66 : 540.14 = 260.44 : x
  2. Step 2: Convert to fraction form
    391.66/540.14 = 260.44/x
  3. Step 3: Cross multiply
    391.66x = 540.14 × 260.44
  4. Step 4: Simplify right side
    391.66x = 140,671.41
  5. Step 5: Solve for x
    x = 140,671.41/391.66
  6. Step 6: Final answer
    x = 359.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.