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Finding the Fourth Proportional to 422.50, 583.05 and 238.50

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Solution

The fourth proportional to 422.50, 583.05 and 238.50 is: 329.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.50 : 583.05 = 238.50 : x
  2. Step 2: Convert to fraction form
    422.50/583.05 = 238.50/x
  3. Step 3: Cross multiply
    422.50x = 583.05 × 238.50
  4. Step 4: Simplify right side
    422.50x = 139,057.43
  5. Step 5: Solve for x
    x = 139,057.43/422.50
  6. Step 6: Final answer
    x = 329.13

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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.