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Finding the Fourth Proportional to 187.36, 259.04 and 143.84

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Solution

The fourth proportional to 187.36, 259.04 and 143.84 is: 198.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.36 : 259.04 = 143.84 : x
  2. Step 2: Convert to fraction form
    187.36/259.04 = 143.84/x
  3. Step 3: Cross multiply
    187.36x = 259.04 × 143.84
  4. Step 4: Simplify right side
    187.36x = 37,260.31
  5. Step 5: Solve for x
    x = 37,260.31/187.36
  6. Step 6: Final answer
    x = 198.87

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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.