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Finding the Fourth Proportional to 77.01, 114.60 and 74.85

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Solution

The fourth proportional to 77.01, 114.60 and 74.85 is: 111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.01 : 114.60 = 74.85 : x
  2. Step 2: Convert to fraction form
    77.01/114.60 = 74.85/x
  3. Step 3: Cross multiply
    77.01x = 114.60 × 74.85
  4. Step 4: Simplify right side
    77.01x = 8,577.81
  5. Step 5: Solve for x
    x = 8,577.81/77.01
  6. Step 6: Final answer
    x = 111.39

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Why These Related Problems?

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