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Finding the Fourth Proportional to 188.68, 259.13 and 171.40

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Solution

The fourth proportional to 188.68, 259.13 and 171.40 is: 235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.68 : 259.13 = 171.40 : x
  2. Step 2: Convert to fraction form
    188.68/259.13 = 171.40/x
  3. Step 3: Cross multiply
    188.68x = 259.13 × 171.40
  4. Step 4: Simplify right side
    188.68x = 44,414.88
  5. Step 5: Solve for x
    x = 44,414.88/188.68
  6. Step 6: Final answer
    x = 235.40

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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.