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Finding the Fourth Proportional to 329.22, 491.60 and 294.59

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Solution

The fourth proportional to 329.22, 491.60 and 294.59 is: 439.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.22 : 491.60 = 294.59 : x
  2. Step 2: Convert to fraction form
    329.22/491.60 = 294.59/x
  3. Step 3: Cross multiply
    329.22x = 491.60 × 294.59
  4. Step 4: Simplify right side
    329.22x = 144,820.75
  5. Step 5: Solve for x
    x = 144,820.75/329.22
  6. Step 6: Final answer
    x = 439.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.