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Finding the Fourth Proportional to 187.19, 278.92 and 166.74

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Solution

The fourth proportional to 187.19, 278.92 and 166.74 is: 248.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.19 : 278.92 = 166.74 : x
  2. Step 2: Convert to fraction form
    187.19/278.92 = 166.74/x
  3. Step 3: Cross multiply
    187.19x = 278.92 × 166.74
  4. Step 4: Simplify right side
    187.19x = 46,507.68
  5. Step 5: Solve for x
    x = 46,507.68/187.19
  6. Step 6: Final answer
    x = 248.46

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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.