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Finding the Fourth Proportional to 439.76, 660.55 and 349.09

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Solution

The fourth proportional to 439.76, 660.55 and 349.09 is: 524.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.76 : 660.55 = 349.09 : x
  2. Step 2: Convert to fraction form
    439.76/660.55 = 349.09/x
  3. Step 3: Cross multiply
    439.76x = 660.55 × 349.09
  4. Step 4: Simplify right side
    439.76x = 230,588.88
  5. Step 5: Solve for x
    x = 230,588.88/439.76
  6. Step 6: Final answer
    x = 524.35

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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.