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Finding the Fourth Proportional to 281.88, 389.06 and 216.28

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Solution

The fourth proportional to 281.88, 389.06 and 216.28 is: 298.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.88 : 389.06 = 216.28 : x
  2. Step 2: Convert to fraction form
    281.88/389.06 = 216.28/x
  3. Step 3: Cross multiply
    281.88x = 389.06 × 216.28
  4. Step 4: Simplify right side
    281.88x = 84,145.90
  5. Step 5: Solve for x
    x = 84,145.90/281.88
  6. Step 6: Final answer
    x = 298.52

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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.