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Finding the Fourth Proportional to 120.77, 180.80 and 77.93

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Solution

The fourth proportional to 120.77, 180.80 and 77.93 is: 116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.77 : 180.80 = 77.93 : x
  2. Step 2: Convert to fraction form
    120.77/180.80 = 77.93/x
  3. Step 3: Cross multiply
    120.77x = 180.80 × 77.93
  4. Step 4: Simplify right side
    120.77x = 14,089.35
  5. Step 5: Solve for x
    x = 14,089.35/120.77
  6. Step 6: Final answer
    x = 116.66

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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.