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Finding the Fourth Proportional to 391.66, 586.26 and 261.40

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Solution

The fourth proportional to 391.66, 586.26 and 261.40 is: 391.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.66 : 586.26 = 261.40 : x
  2. Step 2: Convert to fraction form
    391.66/586.26 = 261.40/x
  3. Step 3: Cross multiply
    391.66x = 586.26 × 261.40
  4. Step 4: Simplify right side
    391.66x = 153,248.36
  5. Step 5: Solve for x
    x = 153,248.36/391.66
  6. Step 6: Final answer
    x = 391.28

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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.