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Finding the Fourth Proportional to 440.35, 661.44 and 349.68

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Solution

The fourth proportional to 440.35, 661.44 and 349.68 is: 525.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.35 : 661.44 = 349.68 : x
  2. Step 2: Convert to fraction form
    440.35/661.44 = 349.68/x
  3. Step 3: Cross multiply
    440.35x = 661.44 × 349.68
  4. Step 4: Simplify right side
    440.35x = 231,292.34
  5. Step 5: Solve for x
    x = 231,292.34/440.35
  6. Step 6: Final answer
    x = 525.25

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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.