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Finding the Fourth Proportional to 329.84, 494.74 and 86.36

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Solution

The fourth proportional to 329.84, 494.74 and 86.36 is: 129.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.84 : 494.74 = 86.36 : x
  2. Step 2: Convert to fraction form
    329.84/494.74 = 86.36/x
  3. Step 3: Cross multiply
    329.84x = 494.74 × 86.36
  4. Step 4: Simplify right side
    329.84x = 42,725.75
  5. Step 5: Solve for x
    x = 42,725.75/329.84
  6. Step 6: Final answer
    x = 129.53

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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.