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Finding the Fourth Proportional to 22.76, 33.98 and 21.40

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Solution

The fourth proportional to 22.76, 33.98 and 21.40 is: 31.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.76 : 33.98 = 21.40 : x
  2. Step 2: Convert to fraction form
    22.76/33.98 = 21.40/x
  3. Step 3: Cross multiply
    22.76x = 33.98 × 21.40
  4. Step 4: Simplify right side
    22.76x = 727.17
  5. Step 5: Solve for x
    x = 727.17/22.76
  6. Step 6: Final answer
    x = 31.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.