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Finding the Fourth Proportional to 422.10, 633.22 and 148.19

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Solution

The fourth proportional to 422.10, 633.22 and 148.19 is: 222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.10 : 633.22 = 148.19 : x
  2. Step 2: Convert to fraction form
    422.10/633.22 = 148.19/x
  3. Step 3: Cross multiply
    422.10x = 633.22 × 148.19
  4. Step 4: Simplify right side
    422.10x = 93,833.34
  5. Step 5: Solve for x
    x = 93,833.34/422.10
  6. Step 6: Final answer
    x = 222.30

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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.