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Finding the Fourth Proportional to 186.50, 278.23 and 170.96

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Solution

The fourth proportional to 186.50, 278.23 and 170.96 is: 255.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.50 : 278.23 = 170.96 : x
  2. Step 2: Convert to fraction form
    186.50/278.23 = 170.96/x
  3. Step 3: Cross multiply
    186.50x = 278.23 × 170.96
  4. Step 4: Simplify right side
    186.50x = 47,566.20
  5. Step 5: Solve for x
    x = 47,566.20/186.50
  6. Step 6: Final answer
    x = 255.05

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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.