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Finding the Fourth Proportional to 307.61, 422.11 and 279.77

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Solution

The fourth proportional to 307.61, 422.11 and 279.77 is: 383.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.61 : 422.11 = 279.77 : x
  2. Step 2: Convert to fraction form
    307.61/422.11 = 279.77/x
  3. Step 3: Cross multiply
    307.61x = 422.11 × 279.77
  4. Step 4: Simplify right side
    307.61x = 118,091.95
  5. Step 5: Solve for x
    x = 118,091.95/307.61
  6. Step 6: Final answer
    x = 383.90

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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.