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Finding the Fourth Proportional to 169.51, 233.69 and 134.65

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Solution

The fourth proportional to 169.51, 233.69 and 134.65 is: 185.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.51 : 233.69 = 134.65 : x
  2. Step 2: Convert to fraction form
    169.51/233.69 = 134.65/x
  3. Step 3: Cross multiply
    169.51x = 233.69 × 134.65
  4. Step 4: Simplify right side
    169.51x = 31,467.77
  5. Step 5: Solve for x
    x = 31,467.77/169.51
  6. Step 6: Final answer
    x = 185.64

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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.