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Finding the Fourth Proportional to 188.52, 259.38 and 165.12

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Solution

The fourth proportional to 188.52, 259.38 and 165.12 is: 227.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.52 : 259.38 = 165.12 : x
  2. Step 2: Convert to fraction form
    188.52/259.38 = 165.12/x
  3. Step 3: Cross multiply
    188.52x = 259.38 × 165.12
  4. Step 4: Simplify right side
    188.52x = 42,828.83
  5. Step 5: Solve for x
    x = 42,828.83/188.52
  6. Step 6: Final answer
    x = 227.18

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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.