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Finding the Fourth Proportional to 441.40, 660.66 and 319.72

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Solution

The fourth proportional to 441.40, 660.66 and 319.72 is: 478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.40 : 660.66 = 319.72 : x
  2. Step 2: Convert to fraction form
    441.40/660.66 = 319.72/x
  3. Step 3: Cross multiply
    441.40x = 660.66 × 319.72
  4. Step 4: Simplify right side
    441.40x = 211,226.22
  5. Step 5: Solve for x
    x = 211,226.22/441.40
  6. Step 6: Final answer
    x = 478.54

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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.