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Finding the Fourth Proportional to 187.41, 259.81 and 183.64

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Solution

The fourth proportional to 187.41, 259.81 and 183.64 is: 254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.41 : 259.81 = 183.64 : x
  2. Step 2: Convert to fraction form
    187.41/259.81 = 183.64/x
  3. Step 3: Cross multiply
    187.41x = 259.81 × 183.64
  4. Step 4: Simplify right side
    187.41x = 47,711.62
  5. Step 5: Solve for x
    x = 47,711.62/187.41
  6. Step 6: Final answer
    x = 254.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.