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Finding the Fourth Proportional to 188.46, 259.92 and 133.16

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Solution

The fourth proportional to 188.46, 259.92 and 133.16 is: 183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.46 : 259.92 = 133.16 : x
  2. Step 2: Convert to fraction form
    188.46/259.92 = 133.16/x
  3. Step 3: Cross multiply
    188.46x = 259.92 × 133.16
  4. Step 4: Simplify right side
    188.46x = 34,609.65
  5. Step 5: Solve for x
    x = 34,609.65/188.46
  6. Step 6: Final answer
    x = 183.64

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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.