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Finding the Fourth Proportional to 391.86, 540.64 and 260.89

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Solution

The fourth proportional to 391.86, 540.64 and 260.89 is: 359.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.86 : 540.64 = 260.89 : x
  2. Step 2: Convert to fraction form
    391.86/540.64 = 260.89/x
  3. Step 3: Cross multiply
    391.86x = 540.64 × 260.89
  4. Step 4: Simplify right side
    391.86x = 141,047.57
  5. Step 5: Solve for x
    x = 141,047.57/391.86
  6. Step 6: Final answer
    x = 359.94

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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.