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Finding the Fourth Proportional to 422.39, 633.65 and 148.43

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Solution

The fourth proportional to 422.39, 633.65 and 148.43 is: 222.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.39 : 633.65 = 148.43 : x
  2. Step 2: Convert to fraction form
    422.39/633.65 = 148.43/x
  3. Step 3: Cross multiply
    422.39x = 633.65 × 148.43
  4. Step 4: Simplify right side
    422.39x = 94,053.51
  5. Step 5: Solve for x
    x = 94,053.51/422.39
  6. Step 6: Final answer
    x = 222.67

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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.