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Finding the Fourth Proportional to 282.85, 389.36 and 220.57

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Solution

The fourth proportional to 282.85, 389.36 and 220.57 is: 303.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.85 : 389.36 = 220.57 : x
  2. Step 2: Convert to fraction form
    282.85/389.36 = 220.57/x
  3. Step 3: Cross multiply
    282.85x = 389.36 × 220.57
  4. Step 4: Simplify right side
    282.85x = 85,880.71
  5. Step 5: Solve for x
    x = 85,880.71/282.85
  6. Step 6: Final answer
    x = 303.63

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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.