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Finding the Fourth Proportional to 186.84, 278.67 and 176.28

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Solution

The fourth proportional to 186.84, 278.67 and 176.28 is: 262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.84 : 278.67 = 176.28 : x
  2. Step 2: Convert to fraction form
    186.84/278.67 = 176.28/x
  3. Step 3: Cross multiply
    186.84x = 278.67 × 176.28
  4. Step 4: Simplify right side
    186.84x = 49,123.95
  5. Step 5: Solve for x
    x = 49,123.95/186.84
  6. Step 6: Final answer
    x = 262.92

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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.