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Finding the Fourth Proportional to 187.32, 257.07 and 184.12

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Solution

The fourth proportional to 187.32, 257.07 and 184.12 is: 252.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.32 : 257.07 = 184.12 : x
  2. Step 2: Convert to fraction form
    187.32/257.07 = 184.12/x
  3. Step 3: Cross multiply
    187.32x = 257.07 × 184.12
  4. Step 4: Simplify right side
    187.32x = 47,331.73
  5. Step 5: Solve for x
    x = 47,331.73/187.32
  6. Step 6: Final answer
    x = 252.68

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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.