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Finding the Fourth Proportional to 282.26, 388.67 and 258.87

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Solution

The fourth proportional to 282.26, 388.67 and 258.87 is: 356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.26 : 388.67 = 258.87 : x
  2. Step 2: Convert to fraction form
    282.26/388.67 = 258.87/x
  3. Step 3: Cross multiply
    282.26x = 388.67 × 258.87
  4. Step 4: Simplify right side
    282.26x = 100,613.71
  5. Step 5: Solve for x
    x = 100,613.71/282.26
  6. Step 6: Final answer
    x = 356.46

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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.