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Finding the Fourth Proportional to 329.52, 491.88 and 308.16

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Solution

The fourth proportional to 329.52, 491.88 and 308.16 is: 460.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.52 : 491.88 = 308.16 : x
  2. Step 2: Convert to fraction form
    329.52/491.88 = 308.16/x
  3. Step 3: Cross multiply
    329.52x = 491.88 × 308.16
  4. Step 4: Simplify right side
    329.52x = 151,577.74
  5. Step 5: Solve for x
    x = 151,577.74/329.52
  6. Step 6: Final answer
    x = 460.00

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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.