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Finding the Fourth Proportional to 281.84, 389 and 165.52

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Solution

The fourth proportional to 281.84, 389 and 165.52 is: 228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.84 : 389 = 165.52 : x
  2. Step 2: Convert to fraction form
    281.84/389 = 165.52/x
  3. Step 3: Cross multiply
    281.84x = 389 × 165.52
  4. Step 4: Simplify right side
    281.84x = 64,387.28
  5. Step 5: Solve for x
    x = 64,387.28/281.84
  6. Step 6: Final answer
    x = 228.45

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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.