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Finding the Fourth Proportional to 307.32, 422.08 and 284.77

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Solution

The fourth proportional to 307.32, 422.08 and 284.77 is: 391.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.32 : 422.08 = 284.77 : x
  2. Step 2: Convert to fraction form
    307.32/422.08 = 284.77/x
  3. Step 3: Cross multiply
    307.32x = 422.08 × 284.77
  4. Step 4: Simplify right side
    307.32x = 120,195.72
  5. Step 5: Solve for x
    x = 120,195.72/307.32
  6. Step 6: Final answer
    x = 391.11

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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.