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Finding the Fourth Proportional to 209.18, 287.51 and 184.47

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Solution

The fourth proportional to 209.18, 287.51 and 184.47 is: 253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.18 : 287.51 = 184.47 : x
  2. Step 2: Convert to fraction form
    209.18/287.51 = 184.47/x
  3. Step 3: Cross multiply
    209.18x = 287.51 × 184.47
  4. Step 4: Simplify right side
    209.18x = 53,036.05
  5. Step 5: Solve for x
    x = 53,036.05/209.18
  6. Step 6: Final answer
    x = 253.55

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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.