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Finding the Fourth Proportional to 422.08, 581.28 and 328.66

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Solution

The fourth proportional to 422.08, 581.28 and 328.66 is: 452.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.08 : 581.28 = 328.66 : x
  2. Step 2: Convert to fraction form
    422.08/581.28 = 328.66/x
  3. Step 3: Cross multiply
    422.08x = 581.28 × 328.66
  4. Step 4: Simplify right side
    422.08x = 191,043.48
  5. Step 5: Solve for x
    x = 191,043.48/422.08
  6. Step 6: Final answer
    x = 452.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.