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Finding the Fourth Proportional to 265.39, 366.67 and 234.21

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Solution

The fourth proportional to 265.39, 366.67 and 234.21 is: 323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.39 : 366.67 = 234.21 : x
  2. Step 2: Convert to fraction form
    265.39/366.67 = 234.21/x
  3. Step 3: Cross multiply
    265.39x = 366.67 × 234.21
  4. Step 4: Simplify right side
    265.39x = 85,877.78
  5. Step 5: Solve for x
    x = 85,877.78/265.39
  6. Step 6: Final answer
    x = 323.59

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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.