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Finding the Fourth Proportional to 22.15, 32.99 and 21.52

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Solution

The fourth proportional to 22.15, 32.99 and 21.52 is: 32.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.15 : 32.99 = 21.52 : x
  2. Step 2: Convert to fraction form
    22.15/32.99 = 21.52/x
  3. Step 3: Cross multiply
    22.15x = 32.99 × 21.52
  4. Step 4: Simplify right side
    22.15x = 709.94
  5. Step 5: Solve for x
    x = 709.94/22.15
  6. Step 6: Final answer
    x = 32.05

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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.