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Finding the Fourth Proportional to 209.79, 287.95 and 185.95

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Solution

The fourth proportional to 209.79, 287.95 and 185.95 is: 255.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.79 : 287.95 = 185.95 : x
  2. Step 2: Convert to fraction form
    209.79/287.95 = 185.95/x
  3. Step 3: Cross multiply
    209.79x = 287.95 × 185.95
  4. Step 4: Simplify right side
    209.79x = 53,541.93
  5. Step 5: Solve for x
    x = 53,541.93/209.79
  6. Step 6: Final answer
    x = 255.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.