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Finding the Fourth Proportional to 282.16, 422.37 and 258.24

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Solution

The fourth proportional to 282.16, 422.37 and 258.24 is: 386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.16 : 422.37 = 258.24 : x
  2. Step 2: Convert to fraction form
    282.16/422.37 = 258.24/x
  3. Step 3: Cross multiply
    282.16x = 422.37 × 258.24
  4. Step 4: Simplify right side
    282.16x = 109,072.83
  5. Step 5: Solve for x
    x = 109,072.83/282.16
  6. Step 6: Final answer
    x = 386.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.