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Finding the Fourth Proportional to 188.16, 259.38 and 125.88

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Solution

The fourth proportional to 188.16, 259.38 and 125.88 is: 173.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.16 : 259.38 = 125.88 : x
  2. Step 2: Convert to fraction form
    188.16/259.38 = 125.88/x
  3. Step 3: Cross multiply
    188.16x = 259.38 × 125.88
  4. Step 4: Simplify right side
    188.16x = 32,650.75
  5. Step 5: Solve for x
    x = 32,650.75/188.16
  6. Step 6: Final answer
    x = 173.53

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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.