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Finding the Fourth Proportional to 186.01, 278.74 and 112.64

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Solution

The fourth proportional to 186.01, 278.74 and 112.64 is: 168.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.01 : 278.74 = 112.64 : x
  2. Step 2: Convert to fraction form
    186.01/278.74 = 112.64/x
  3. Step 3: Cross multiply
    186.01x = 278.74 × 112.64
  4. Step 4: Simplify right side
    186.01x = 31,396.02
  5. Step 5: Solve for x
    x = 31,396.02/186.01
  6. Step 6: Final answer
    x = 168.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.