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Finding the Fourth Proportional to 137.02, 187.82 and 135.14

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Solution

The fourth proportional to 137.02, 187.82 and 135.14 is: 185.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.02 : 187.82 = 135.14 : x
  2. Step 2: Convert to fraction form
    137.02/187.82 = 135.14/x
  3. Step 3: Cross multiply
    137.02x = 187.82 × 135.14
  4. Step 4: Simplify right side
    137.02x = 25,381.99
  5. Step 5: Solve for x
    x = 25,381.99/137.02
  6. Step 6: Final answer
    x = 185.24

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