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Finding the Fourth Proportional to 22.20, 29.07 and 22.20

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Solution

The fourth proportional to 22.20, 29.07 and 22.20 is: 29.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.20 : 29.07 = 22.20 : x
  2. Step 2: Convert to fraction form
    22.20/29.07 = 22.20/x
  3. Step 3: Cross multiply
    22.20x = 29.07 × 22.20
  4. Step 4: Simplify right side
    22.20x = 645.35
  5. Step 5: Solve for x
    x = 645.35/22.20
  6. Step 6: Final answer
    x = 29.07

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.