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Finding the Fourth Proportional to 265.44, 366.78 and 212.91

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Solution

The fourth proportional to 265.44, 366.78 and 212.91 is: 294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.44 : 366.78 = 212.91 : x
  2. Step 2: Convert to fraction form
    265.44/366.78 = 212.91/x
  3. Step 3: Cross multiply
    265.44x = 366.78 × 212.91
  4. Step 4: Simplify right side
    265.44x = 78,091.13
  5. Step 5: Solve for x
    x = 78,091.13/265.44
  6. Step 6: Final answer
    x = 294.20

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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.