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Finding the Fourth Proportional to 22.19, 30.42 and 22.14

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Solution

The fourth proportional to 22.19, 30.42 and 22.14 is: 30.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.19 : 30.42 = 22.14 : x
  2. Step 2: Convert to fraction form
    22.19/30.42 = 22.14/x
  3. Step 3: Cross multiply
    22.19x = 30.42 × 22.14
  4. Step 4: Simplify right side
    22.19x = 673.50
  5. Step 5: Solve for x
    x = 673.50/22.19
  6. Step 6: Final answer
    x = 30.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.