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Finding the Fourth Proportional to 188.90, 259.03 and 182.39

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Solution

The fourth proportional to 188.90, 259.03 and 182.39 is: 250.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.90 : 259.03 = 182.39 : x
  2. Step 2: Convert to fraction form
    188.90/259.03 = 182.39/x
  3. Step 3: Cross multiply
    188.90x = 259.03 × 182.39
  4. Step 4: Simplify right side
    188.90x = 47,243.57
  5. Step 5: Solve for x
    x = 47,243.57/188.90
  6. Step 6: Final answer
    x = 250.10

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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.