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Finding the Fourth Proportional to 186.50, 278.38 and 172.75

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Solution

The fourth proportional to 186.50, 278.38 and 172.75 is: 257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.50 : 278.38 = 172.75 : x
  2. Step 2: Convert to fraction form
    186.50/278.38 = 172.75/x
  3. Step 3: Cross multiply
    186.50x = 278.38 × 172.75
  4. Step 4: Simplify right side
    186.50x = 48,089.28
  5. Step 5: Solve for x
    x = 48,089.28/186.50
  6. Step 6: Final answer
    x = 257.86

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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.