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Finding the Fourth Proportional to 213.95, 320.95 and 76.97

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Solution

The fourth proportional to 213.95, 320.95 and 76.97 is: 115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.95 : 320.95 = 76.97 : x
  2. Step 2: Convert to fraction form
    213.95/320.95 = 76.97/x
  3. Step 3: Cross multiply
    213.95x = 320.95 × 76.97
  4. Step 4: Simplify right side
    213.95x = 24,701.72
  5. Step 5: Solve for x
    x = 24,701.72/213.95
  6. Step 6: Final answer
    x = 115.46

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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.