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Finding the Fourth Proportional to 209.95, 290.46 and 184.15

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Solution

The fourth proportional to 209.95, 290.46 and 184.15 is: 254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.95 : 290.46 = 184.15 : x
  2. Step 2: Convert to fraction form
    209.95/290.46 = 184.15/x
  3. Step 3: Cross multiply
    209.95x = 290.46 × 184.15
  4. Step 4: Simplify right side
    209.95x = 53,488.21
  5. Step 5: Solve for x
    x = 53,488.21/209.95
  6. Step 6: Final answer
    x = 254.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.