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Finding the Fourth Proportional to 186.85, 278.90 and 173.50

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Solution

The fourth proportional to 186.85, 278.90 and 173.50 is: 258.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.85 : 278.90 = 173.50 : x
  2. Step 2: Convert to fraction form
    186.85/278.90 = 173.50/x
  3. Step 3: Cross multiply
    186.85x = 278.90 × 173.50
  4. Step 4: Simplify right side
    186.85x = 48,389.15
  5. Step 5: Solve for x
    x = 48,389.15/186.85
  6. Step 6: Final answer
    x = 258.97

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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.