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Finding the Fourth Proportional to 422.91, 583.59 and 233.85

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Solution

The fourth proportional to 422.91, 583.59 and 233.85 is: 322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.91 : 583.59 = 233.85 : x
  2. Step 2: Convert to fraction form
    422.91/583.59 = 233.85/x
  3. Step 3: Cross multiply
    422.91x = 583.59 × 233.85
  4. Step 4: Simplify right side
    422.91x = 136,471.72
  5. Step 5: Solve for x
    x = 136,471.72/422.91
  6. Step 6: Final answer
    x = 322.70

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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.