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Finding the Fourth Proportional to 329.56, 492.20 and 261.16

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Solution

The fourth proportional to 329.56, 492.20 and 261.16 is: 390.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.56 : 492.20 = 261.16 : x
  2. Step 2: Convert to fraction form
    329.56/492.20 = 261.16/x
  3. Step 3: Cross multiply
    329.56x = 492.20 × 261.16
  4. Step 4: Simplify right side
    329.56x = 128,542.95
  5. Step 5: Solve for x
    x = 128,542.95/329.56
  6. Step 6: Final answer
    x = 390.04

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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.