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Finding the Fourth Proportional to 209.86, 289.50 and 144.40

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Solution

The fourth proportional to 209.86, 289.50 and 144.40 is: 199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.86 : 289.50 = 144.40 : x
  2. Step 2: Convert to fraction form
    209.86/289.50 = 144.40/x
  3. Step 3: Cross multiply
    209.86x = 289.50 × 144.40
  4. Step 4: Simplify right side
    209.86x = 41,803.80
  5. Step 5: Solve for x
    x = 41,803.80/209.86
  6. Step 6: Final answer
    x = 199.20

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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.