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Finding the Fourth Proportional to 67.82, 101.58 and 44.99

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Solution

The fourth proportional to 67.82, 101.58 and 44.99 is: 67.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.82 : 101.58 = 44.99 : x
  2. Step 2: Convert to fraction form
    67.82/101.58 = 44.99/x
  3. Step 3: Cross multiply
    67.82x = 101.58 × 44.99
  4. Step 4: Simplify right side
    67.82x = 4,569.58
  5. Step 5: Solve for x
    x = 4,569.58/67.82
  6. Step 6: Final answer
    x = 67.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.