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Finding the Fourth Proportional to 72.94, 100.65 and 41.85

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Solution

The fourth proportional to 72.94, 100.65 and 41.85 is: 57.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.94 : 100.65 = 41.85 : x
  2. Step 2: Convert to fraction form
    72.94/100.65 = 41.85/x
  3. Step 3: Cross multiply
    72.94x = 100.65 × 41.85
  4. Step 4: Simplify right side
    72.94x = 4,212.20
  5. Step 5: Solve for x
    x = 4,212.20/72.94
  6. Step 6: Final answer
    x = 57.75

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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.