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Finding the Fourth Proportional to 188.17, 259.54 and 121.78

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Solution

The fourth proportional to 188.17, 259.54 and 121.78 is: 167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.17 : 259.54 = 121.78 : x
  2. Step 2: Convert to fraction form
    188.17/259.54 = 121.78/x
  3. Step 3: Cross multiply
    188.17x = 259.54 × 121.78
  4. Step 4: Simplify right side
    188.17x = 31,606.78
  5. Step 5: Solve for x
    x = 31,606.78/188.17
  6. Step 6: Final answer
    x = 167.97

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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.