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Finding the Fourth Proportional to 135.46, 186.89 and 77.23

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Solution

The fourth proportional to 135.46, 186.89 and 77.23 is: 106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.46 : 186.89 = 77.23 : x
  2. Step 2: Convert to fraction form
    135.46/186.89 = 77.23/x
  3. Step 3: Cross multiply
    135.46x = 186.89 × 77.23
  4. Step 4: Simplify right side
    135.46x = 14,433.51
  5. Step 5: Solve for x
    x = 14,433.51/135.46
  6. Step 6: Final answer
    x = 106.55

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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.