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Finding the Fourth Proportional to 137.82, 187.80 and 137.34

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Solution

The fourth proportional to 137.82, 187.80 and 137.34 is: 187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.82 : 187.80 = 137.34 : x
  2. Step 2: Convert to fraction form
    137.82/187.80 = 137.34/x
  3. Step 3: Cross multiply
    137.82x = 187.80 × 137.34
  4. Step 4: Simplify right side
    137.82x = 25,792.45
  5. Step 5: Solve for x
    x = 25,792.45/137.82
  6. Step 6: Final answer
    x = 187.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.