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Finding the Fourth Proportional to 281.90, 389.11 and 183.66

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Solution

The fourth proportional to 281.90, 389.11 and 183.66 is: 253.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.90 : 389.11 = 183.66 : x
  2. Step 2: Convert to fraction form
    281.90/389.11 = 183.66/x
  3. Step 3: Cross multiply
    281.90x = 389.11 × 183.66
  4. Step 4: Simplify right side
    281.90x = 71,463.94
  5. Step 5: Solve for x
    x = 71,463.94/281.90
  6. Step 6: Final answer
    x = 253.51

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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.