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Finding the Fourth Proportional to 49.86, 75.12 and 44.52

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Solution

The fourth proportional to 49.86, 75.12 and 44.52 is: 67.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.86 : 75.12 = 44.52 : x
  2. Step 2: Convert to fraction form
    49.86/75.12 = 44.52/x
  3. Step 3: Cross multiply
    49.86x = 75.12 × 44.52
  4. Step 4: Simplify right side
    49.86x = 3,344.34
  5. Step 5: Solve for x
    x = 3,344.34/49.86
  6. Step 6: Final answer
    x = 67.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.