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Finding the Fourth Proportional to 308.23, 462.35 and 178.43

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Solution

The fourth proportional to 308.23, 462.35 and 178.43 is: 267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.23 : 462.35 = 178.43 : x
  2. Step 2: Convert to fraction form
    308.23/462.35 = 178.43/x
  3. Step 3: Cross multiply
    308.23x = 462.35 × 178.43
  4. Step 4: Simplify right side
    308.23x = 82,495.24
  5. Step 5: Solve for x
    x = 82,495.24/308.23
  6. Step 6: Final answer
    x = 267.64

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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.