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Finding the Fourth Proportional to 175.16, 261.16 and 166.52

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Solution

The fourth proportional to 175.16, 261.16 and 166.52 is: 248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.16 : 261.16 = 166.52 : x
  2. Step 2: Convert to fraction form
    175.16/261.16 = 166.52/x
  3. Step 3: Cross multiply
    175.16x = 261.16 × 166.52
  4. Step 4: Simplify right side
    175.16x = 43,488.60
  5. Step 5: Solve for x
    x = 43,488.60/175.16
  6. Step 6: Final answer
    x = 248.28

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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.