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Finding the Fourth Proportional to 282.88, 390.24 and 220.60

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Solution

The fourth proportional to 282.88, 390.24 and 220.60 is: 304.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.88 : 390.24 = 220.60 : x
  2. Step 2: Convert to fraction form
    282.88/390.24 = 220.60/x
  3. Step 3: Cross multiply
    282.88x = 390.24 × 220.60
  4. Step 4: Simplify right side
    282.88x = 86,086.94
  5. Step 5: Solve for x
    x = 86,086.94/282.88
  6. Step 6: Final answer
    x = 304.32

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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.