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Finding the Fourth Proportional to 186.78, 259.55 and 184.49

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Solution

The fourth proportional to 186.78, 259.55 and 184.49 is: 256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.78 : 259.55 = 184.49 : x
  2. Step 2: Convert to fraction form
    186.78/259.55 = 184.49/x
  3. Step 3: Cross multiply
    186.78x = 259.55 × 184.49
  4. Step 4: Simplify right side
    186.78x = 47,882.16
  5. Step 5: Solve for x
    x = 47,882.16/186.78
  6. Step 6: Final answer
    x = 256.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.