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Finding the Fourth Proportional to 209.35, 288.75 and 144.01

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Solution

The fourth proportional to 209.35, 288.75 and 144.01 is: 198.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.35 : 288.75 = 144.01 : x
  2. Step 2: Convert to fraction form
    209.35/288.75 = 144.01/x
  3. Step 3: Cross multiply
    209.35x = 288.75 × 144.01
  4. Step 4: Simplify right side
    209.35x = 41,582.17
  5. Step 5: Solve for x
    x = 41,582.17/209.35
  6. Step 6: Final answer
    x = 198.63

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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.