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Finding the Fourth Proportional to 185.09, 278.75 and 169.01

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Solution

The fourth proportional to 185.09, 278.75 and 169.01 is: 254.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.09 : 278.75 = 169.01 : x
  2. Step 2: Convert to fraction form
    185.09/278.75 = 169.01/x
  3. Step 3: Cross multiply
    185.09x = 278.75 × 169.01
  4. Step 4: Simplify right side
    185.09x = 47,111.54
  5. Step 5: Solve for x
    x = 47,111.54/185.09
  6. Step 6: Final answer
    x = 254.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.