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Finding the Fourth Proportional to 422.08, 633.39 and 277.90

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Solution

The fourth proportional to 422.08, 633.39 and 277.90 is: 417.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.08 : 633.39 = 277.90 : x
  2. Step 2: Convert to fraction form
    422.08/633.39 = 277.90/x
  3. Step 3: Cross multiply
    422.08x = 633.39 × 277.90
  4. Step 4: Simplify right side
    422.08x = 176,019.08
  5. Step 5: Solve for x
    x = 176,019.08/422.08
  6. Step 6: Final answer
    x = 417.03

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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.