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Finding the Fourth Proportional to 187.11, 257.90 and 157.64

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Solution

The fourth proportional to 187.11, 257.90 and 157.64 is: 217.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.11 : 257.90 = 157.64 : x
  2. Step 2: Convert to fraction form
    187.11/257.90 = 157.64/x
  3. Step 3: Cross multiply
    187.11x = 257.90 × 157.64
  4. Step 4: Simplify right side
    187.11x = 40,653.28
  5. Step 5: Solve for x
    x = 40,653.28/187.11
  6. Step 6: Final answer
    x = 217.27

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Why These Related Problems?

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