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Finding the Fourth Proportional to 263.14, 392.69 and 231.15

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Solution

The fourth proportional to 263.14, 392.69 and 231.15 is: 344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.14 : 392.69 = 231.15 : x
  2. Step 2: Convert to fraction form
    263.14/392.69 = 231.15/x
  3. Step 3: Cross multiply
    263.14x = 392.69 × 231.15
  4. Step 4: Simplify right side
    263.14x = 90,767.91
  5. Step 5: Solve for x
    x = 90,767.91/263.14
  6. Step 6: Final answer
    x = 344.94

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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.