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Finding the Fourth Proportional to 440.78, 660.58 and 209.36

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Solution

The fourth proportional to 440.78, 660.58 and 209.36 is: 313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.78 : 660.58 = 209.36 : x
  2. Step 2: Convert to fraction form
    440.78/660.58 = 209.36/x
  3. Step 3: Cross multiply
    440.78x = 660.58 × 209.36
  4. Step 4: Simplify right side
    440.78x = 138,300.16
  5. Step 5: Solve for x
    x = 138,300.16/440.78
  6. Step 6: Final answer
    x = 313.77

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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.