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Finding the Fourth Proportional to 135.05, 187.35 and 130.19

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Solution

The fourth proportional to 135.05, 187.35 and 130.19 is: 180.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.05 : 187.35 = 130.19 : x
  2. Step 2: Convert to fraction form
    135.05/187.35 = 130.19/x
  3. Step 3: Cross multiply
    135.05x = 187.35 × 130.19
  4. Step 4: Simplify right side
    135.05x = 24,390.16
  5. Step 5: Solve for x
    x = 24,390.16/135.05
  6. Step 6: Final answer
    x = 180.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.