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Finding the Fourth Proportional to 186.02, 278.70 and 113.72

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Solution

The fourth proportional to 186.02, 278.70 and 113.72 is: 170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.02 : 278.70 = 113.72 : x
  2. Step 2: Convert to fraction form
    186.02/278.70 = 113.72/x
  3. Step 3: Cross multiply
    186.02x = 278.70 × 113.72
  4. Step 4: Simplify right side
    186.02x = 31,692.37
  5. Step 5: Solve for x
    x = 31,692.37/186.02
  6. Step 6: Final answer
    x = 170.38

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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.