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Finding the Fourth Proportional to 308.16, 461.09 and 171.31

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Solution

The fourth proportional to 308.16, 461.09 and 171.31 is: 256.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.16 : 461.09 = 171.31 : x
  2. Step 2: Convert to fraction form
    308.16/461.09 = 171.31/x
  3. Step 3: Cross multiply
    308.16x = 461.09 × 171.31
  4. Step 4: Simplify right side
    308.16x = 78,987.32
  5. Step 5: Solve for x
    x = 78,987.32/308.16
  6. Step 6: Final answer
    x = 256.32

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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.