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Finding the Fourth Proportional to 440.19, 660.20 and 208.87

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Solution

The fourth proportional to 440.19, 660.20 and 208.87 is: 313.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.19 : 660.20 = 208.87 : x
  2. Step 2: Convert to fraction form
    440.19/660.20 = 208.87/x
  3. Step 3: Cross multiply
    440.19x = 660.20 × 208.87
  4. Step 4: Simplify right side
    440.19x = 137,895.97
  5. Step 5: Solve for x
    x = 137,895.97/440.19
  6. Step 6: Final answer
    x = 313.26

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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.