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Finding the Fourth Proportional to 266.92, 368.60 and 231.78

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Solution

The fourth proportional to 266.92, 368.60 and 231.78 is: 320.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.92 : 368.60 = 231.78 : x
  2. Step 2: Convert to fraction form
    266.92/368.60 = 231.78/x
  3. Step 3: Cross multiply
    266.92x = 368.60 × 231.78
  4. Step 4: Simplify right side
    266.92x = 85,434.11
  5. Step 5: Solve for x
    x = 85,434.11/266.92
  6. Step 6: Final answer
    x = 320.07

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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.