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Finding the Fourth Proportional to 88.00, 120.77 and 79.80

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Solution

The fourth proportional to 88.00, 120.77 and 79.80 is: 109.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.00 : 120.77 = 79.80 : x
  2. Step 2: Convert to fraction form
    88.00/120.77 = 79.80/x
  3. Step 3: Cross multiply
    88.00x = 120.77 × 79.80
  4. Step 4: Simplify right side
    88.00x = 9,636.89
  5. Step 5: Solve for x
    x = 9,636.89/88.00
  6. Step 6: Final answer
    x = 109.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.