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Finding the Fourth Proportional to 72.94, 100.62 and 41.42

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Solution

The fourth proportional to 72.94, 100.62 and 41.42 is: 57.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.94 : 100.62 = 41.42 : x
  2. Step 2: Convert to fraction form
    72.94/100.62 = 41.42/x
  3. Step 3: Cross multiply
    72.94x = 100.62 × 41.42
  4. Step 4: Simplify right side
    72.94x = 4,167.66
  5. Step 5: Solve for x
    x = 4,167.66/72.94
  6. Step 6: Final answer
    x = 57.14

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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.