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Finding the Fourth Proportional to 440.34, 660 and 209.29

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Solution

The fourth proportional to 440.34, 660 and 209.29 is: 313.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.34 : 660 = 209.29 : x
  2. Step 2: Convert to fraction form
    440.34/660 = 209.29/x
  3. Step 3: Cross multiply
    440.34x = 660 × 209.29
  4. Step 4: Simplify right side
    440.34x = 138,131.40
  5. Step 5: Solve for x
    x = 138,131.40/440.34
  6. Step 6: Final answer
    x = 313.69

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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.