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Finding the Fourth Proportional to 209.50, 287.99 and 184.66

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Solution

The fourth proportional to 209.50, 287.99 and 184.66 is: 253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.50 : 287.99 = 184.66 : x
  2. Step 2: Convert to fraction form
    209.50/287.99 = 184.66/x
  3. Step 3: Cross multiply
    209.50x = 287.99 × 184.66
  4. Step 4: Simplify right side
    209.50x = 53,180.23
  5. Step 5: Solve for x
    x = 53,180.23/209.50
  6. Step 6: Final answer
    x = 253.84

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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.