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Finding the Fourth Proportional to 185.95, 277.34 and 166.51

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Solution

The fourth proportional to 185.95, 277.34 and 166.51 is: 248.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.95 : 277.34 = 166.51 : x
  2. Step 2: Convert to fraction form
    185.95/277.34 = 166.51/x
  3. Step 3: Cross multiply
    185.95x = 277.34 × 166.51
  4. Step 4: Simplify right side
    185.95x = 46,179.88
  5. Step 5: Solve for x
    x = 46,179.88/185.95
  6. Step 6: Final answer
    x = 248.35

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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.