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Finding the Fourth Proportional to 213.95, 320.92 and 77.09

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Solution

The fourth proportional to 213.95, 320.92 and 77.09 is: 115.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.95 : 320.92 = 77.09 : x
  2. Step 2: Convert to fraction form
    213.95/320.92 = 77.09/x
  3. Step 3: Cross multiply
    213.95x = 320.92 × 77.09
  4. Step 4: Simplify right side
    213.95x = 24,737.93
  5. Step 5: Solve for x
    x = 24,737.93/213.95
  6. Step 6: Final answer
    x = 115.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.