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Finding the Fourth Proportional to 137.10, 188.02 and 135.50

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Solution

The fourth proportional to 137.10, 188.02 and 135.50 is: 185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.10 : 188.02 = 135.50 : x
  2. Step 2: Convert to fraction form
    137.10/188.02 = 135.50/x
  3. Step 3: Cross multiply
    137.10x = 188.02 × 135.50
  4. Step 4: Simplify right side
    137.10x = 25,476.71
  5. Step 5: Solve for x
    x = 25,476.71/137.10
  6. Step 6: Final answer
    x = 185.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.