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Finding the Fourth Proportional to 77.03, 114.72 and 72.38

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Solution

The fourth proportional to 77.03, 114.72 and 72.38 is: 107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.03 : 114.72 = 72.38 : x
  2. Step 2: Convert to fraction form
    77.03/114.72 = 72.38/x
  3. Step 3: Cross multiply
    77.03x = 114.72 × 72.38
  4. Step 4: Simplify right side
    77.03x = 8,302.86
  5. Step 5: Solve for x
    x = 8,302.86/77.03
  6. Step 6: Final answer
    x = 107.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.