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Finding the Fourth Proportional to 187.11, 257.99 and 183.06

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Solution

The fourth proportional to 187.11, 257.99 and 183.06 is: 252.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.11 : 257.99 = 183.06 : x
  2. Step 2: Convert to fraction form
    187.11/257.99 = 183.06/x
  3. Step 3: Cross multiply
    187.11x = 257.99 × 183.06
  4. Step 4: Simplify right side
    187.11x = 47,226.73
  5. Step 5: Solve for x
    x = 47,226.73/187.11
  6. Step 6: Final answer
    x = 252.40

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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.