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Finding the Fourth Proportional to 187.11, 257.94 and 145.62

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Solution

The fourth proportional to 187.11, 257.94 and 145.62 is: 200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.11 : 257.94 = 145.62 : x
  2. Step 2: Convert to fraction form
    187.11/257.94 = 145.62/x
  3. Step 3: Cross multiply
    187.11x = 257.94 × 145.62
  4. Step 4: Simplify right side
    187.11x = 37,561.22
  5. Step 5: Solve for x
    x = 37,561.22/187.11
  6. Step 6: Final answer
    x = 200.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.