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Finding the Fourth Proportional to 282.21, 387.33 and 258.77

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Solution

The fourth proportional to 282.21, 387.33 and 258.77 is: 355.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.21 : 387.33 = 258.77 : x
  2. Step 2: Convert to fraction form
    282.21/387.33 = 258.77/x
  3. Step 3: Cross multiply
    282.21x = 387.33 × 258.77
  4. Step 4: Simplify right side
    282.21x = 100,227.45
  5. Step 5: Solve for x
    x = 100,227.45/282.21
  6. Step 6: Final answer
    x = 355.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.