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Finding the Fourth Proportional to 261.78, 391.09 and 231.67

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Solution

The fourth proportional to 261.78, 391.09 and 231.67 is: 346.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.78 : 391.09 = 231.67 : x
  2. Step 2: Convert to fraction form
    261.78/391.09 = 231.67/x
  3. Step 3: Cross multiply
    261.78x = 391.09 × 231.67
  4. Step 4: Simplify right side
    261.78x = 90,603.82
  5. Step 5: Solve for x
    x = 90,603.82/261.78
  6. Step 6: Final answer
    x = 346.11

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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.