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Finding the Fourth Proportional to 135.34, 186.74 and 80.08

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Solution

The fourth proportional to 135.34, 186.74 and 80.08 is: 110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.34 : 186.74 = 80.08 : x
  2. Step 2: Convert to fraction form
    135.34/186.74 = 80.08/x
  3. Step 3: Cross multiply
    135.34x = 186.74 × 80.08
  4. Step 4: Simplify right side
    135.34x = 14,953.74
  5. Step 5: Solve for x
    x = 14,953.74/135.34
  6. Step 6: Final answer
    x = 110.49

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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.