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Finding the Fourth Proportional to 186.86, 278.38 and 178.16

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Solution

The fourth proportional to 186.86, 278.38 and 178.16 is: 265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.86 : 278.38 = 178.16 : x
  2. Step 2: Convert to fraction form
    186.86/278.38 = 178.16/x
  3. Step 3: Cross multiply
    186.86x = 278.38 × 178.16
  4. Step 4: Simplify right side
    186.86x = 49,596.18
  5. Step 5: Solve for x
    x = 49,596.18/186.86
  6. Step 6: Final answer
    x = 265.42

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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.