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Finding the Fourth Proportional to 308.10, 461.46 and 145.44

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Solution

The fourth proportional to 308.10, 461.46 and 145.44 is: 217.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.10 : 461.46 = 145.44 : x
  2. Step 2: Convert to fraction form
    308.10/461.46 = 145.44/x
  3. Step 3: Cross multiply
    308.10x = 461.46 × 145.44
  4. Step 4: Simplify right side
    308.10x = 67,114.74
  5. Step 5: Solve for x
    x = 67,114.74/308.10
  6. Step 6: Final answer
    x = 217.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.