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Finding the Fourth Proportional to 440.91, 660.15 and 319.41

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Solution

The fourth proportional to 440.91, 660.15 and 319.41 is: 478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.91 : 660.15 = 319.41 : x
  2. Step 2: Convert to fraction form
    440.91/660.15 = 319.41/x
  3. Step 3: Cross multiply
    440.91x = 660.15 × 319.41
  4. Step 4: Simplify right side
    440.91x = 210,858.51
  5. Step 5: Solve for x
    x = 210,858.51/440.91
  6. Step 6: Final answer
    x = 478.23

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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.