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Finding the Fourth Proportional to 77.03, 115.37 and 42.81

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Solution

The fourth proportional to 77.03, 115.37 and 42.81 is: 64.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.03 : 115.37 = 42.81 : x
  2. Step 2: Convert to fraction form
    77.03/115.37 = 42.81/x
  3. Step 3: Cross multiply
    77.03x = 115.37 × 42.81
  4. Step 4: Simplify right side
    77.03x = 4,938.99
  5. Step 5: Solve for x
    x = 4,938.99/77.03
  6. Step 6: Final answer
    x = 64.12

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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.