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Finding the Fourth Proportional to 263.14, 391.70 and 261.76

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Solution

The fourth proportional to 263.14, 391.70 and 261.76 is: 389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.14 : 391.70 = 261.76 : x
  2. Step 2: Convert to fraction form
    263.14/391.70 = 261.76/x
  3. Step 3: Cross multiply
    263.14x = 391.70 × 261.76
  4. Step 4: Simplify right side
    263.14x = 102,531.39
  5. Step 5: Solve for x
    x = 102,531.39/263.14
  6. Step 6: Final answer
    x = 389.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.