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Finding the Fourth Proportional to 385.82, 532.48 and 220.09

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Solution

The fourth proportional to 385.82, 532.48 and 220.09 is: 303.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.82 : 532.48 = 220.09 : x
  2. Step 2: Convert to fraction form
    385.82/532.48 = 220.09/x
  3. Step 3: Cross multiply
    385.82x = 532.48 × 220.09
  4. Step 4: Simplify right side
    385.82x = 117,193.52
  5. Step 5: Solve for x
    x = 117,193.52/385.82
  6. Step 6: Final answer
    x = 303.75

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