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Finding the Fourth Proportional to 282.21, 421.32 and 216.87

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Solution

The fourth proportional to 282.21, 421.32 and 216.87 is: 323.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.21 : 421.32 = 216.87 : x
  2. Step 2: Convert to fraction form
    282.21/421.32 = 216.87/x
  3. Step 3: Cross multiply
    282.21x = 421.32 × 216.87
  4. Step 4: Simplify right side
    282.21x = 91,371.67
  5. Step 5: Solve for x
    x = 91,371.67/282.21
  6. Step 6: Final answer
    x = 323.77

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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.