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Finding the Fourth Proportional to 135.53, 186.78 and 110.89

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Solution

The fourth proportional to 135.53, 186.78 and 110.89 is: 152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.53 : 186.78 = 110.89 : x
  2. Step 2: Convert to fraction form
    135.53/186.78 = 110.89/x
  3. Step 3: Cross multiply
    135.53x = 186.78 × 110.89
  4. Step 4: Simplify right side
    135.53x = 20,712.03
  5. Step 5: Solve for x
    x = 20,712.03/135.53
  6. Step 6: Final answer
    x = 152.82

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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.