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Finding the Fourth Proportional to 135.98, 187.66 and 77.77

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Solution

The fourth proportional to 135.98, 187.66 and 77.77 is: 107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.98 : 187.66 = 77.77 : x
  2. Step 2: Convert to fraction form
    135.98/187.66 = 77.77/x
  3. Step 3: Cross multiply
    135.98x = 187.66 × 77.77
  4. Step 4: Simplify right side
    135.98x = 14,594.32
  5. Step 5: Solve for x
    x = 14,594.32/135.98
  6. Step 6: Final answer
    x = 107.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.