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Finding the Fourth Proportional to 77.99, 116.20 and 74.49

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Solution

The fourth proportional to 77.99, 116.20 and 74.49 is: 111.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.99 : 116.20 = 74.49 : x
  2. Step 2: Convert to fraction form
    77.99/116.20 = 74.49/x
  3. Step 3: Cross multiply
    77.99x = 116.20 × 74.49
  4. Step 4: Simplify right side
    77.99x = 8,656.53
  5. Step 5: Solve for x
    x = 8,656.53/77.99
  6. Step 6: Final answer
    x = 111.00

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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.