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Finding the Fourth Proportional to 188.19, 259.53 and 121.80

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Solution

The fourth proportional to 188.19, 259.53 and 121.80 is: 167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.19 : 259.53 = 121.80 : x
  2. Step 2: Convert to fraction form
    188.19/259.53 = 121.80/x
  3. Step 3: Cross multiply
    188.19x = 259.53 × 121.80
  4. Step 4: Simplify right side
    188.19x = 31,610.75
  5. Step 5: Solve for x
    x = 31,610.75/188.19
  6. Step 6: Final answer
    x = 167.98

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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.