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Finding the Fourth Proportional to 440.52, 660.20 and 209.10

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Solution

The fourth proportional to 440.52, 660.20 and 209.10 is: 313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.52 : 660.20 = 209.10 : x
  2. Step 2: Convert to fraction form
    440.52/660.20 = 209.10/x
  3. Step 3: Cross multiply
    440.52x = 660.20 × 209.10
  4. Step 4: Simplify right side
    440.52x = 138,046.77
  5. Step 5: Solve for x
    x = 138,046.77/440.52
  6. Step 6: Final answer
    x = 313.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.