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Finding the Fourth Proportional to 282.52, 422.22 and 260.63

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Solution

The fourth proportional to 282.52, 422.22 and 260.63 is: 389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.52 : 422.22 = 260.63 : x
  2. Step 2: Convert to fraction form
    282.52/422.22 = 260.63/x
  3. Step 3: Cross multiply
    282.52x = 422.22 × 260.63
  4. Step 4: Simplify right side
    282.52x = 110,043.20
  5. Step 5: Solve for x
    x = 110,043.20/282.52
  6. Step 6: Final answer
    x = 389.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.