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Finding the Fourth Proportional to 175.65, 261.89 and 166.65

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Solution

The fourth proportional to 175.65, 261.89 and 166.65 is: 248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.65 : 261.89 = 166.65 : x
  2. Step 2: Convert to fraction form
    175.65/261.89 = 166.65/x
  3. Step 3: Cross multiply
    175.65x = 261.89 × 166.65
  4. Step 4: Simplify right side
    175.65x = 43,643.14
  5. Step 5: Solve for x
    x = 43,643.14/175.65
  6. Step 6: Final answer
    x = 248.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.