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Finding the Fourth Proportional to 186.52, 278.41 and 166.18

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Solution

The fourth proportional to 186.52, 278.41 and 166.18 is: 248.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.52 : 278.41 = 166.18 : x
  2. Step 2: Convert to fraction form
    186.52/278.41 = 166.18/x
  3. Step 3: Cross multiply
    186.52x = 278.41 × 166.18
  4. Step 4: Simplify right side
    186.52x = 46,266.17
  5. Step 5: Solve for x
    x = 46,266.17/186.52
  6. Step 6: Final answer
    x = 248.05

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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.