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Finding the Fourth Proportional to 77.99, 117.63 and 77.20

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Solution

The fourth proportional to 77.99, 117.63 and 77.20 is: 116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.99 : 117.63 = 77.20 : x
  2. Step 2: Convert to fraction form
    77.99/117.63 = 77.20/x
  3. Step 3: Cross multiply
    77.99x = 117.63 × 77.20
  4. Step 4: Simplify right side
    77.99x = 9,080.74
  5. Step 5: Solve for x
    x = 9,080.74/77.99
  6. Step 6: Final answer
    x = 116.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.