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Finding the Fourth Proportional to 187.78, 279.78 and 177.30

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Solution

The fourth proportional to 187.78, 279.78 and 177.30 is: 264.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.78 : 279.78 = 177.30 : x
  2. Step 2: Convert to fraction form
    187.78/279.78 = 177.30/x
  3. Step 3: Cross multiply
    187.78x = 279.78 × 177.30
  4. Step 4: Simplify right side
    187.78x = 49,604.99
  5. Step 5: Solve for x
    x = 49,604.99/187.78
  6. Step 6: Final answer
    x = 264.17

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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.