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Finding the Fourth Proportional to 308.35, 461.84 and 145.69

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Solution

The fourth proportional to 308.35, 461.84 and 145.69 is: 218.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.35 : 461.84 = 145.69 : x
  2. Step 2: Convert to fraction form
    308.35/461.84 = 145.69/x
  3. Step 3: Cross multiply
    308.35x = 461.84 × 145.69
  4. Step 4: Simplify right side
    308.35x = 67,283.59
  5. Step 5: Solve for x
    x = 67,283.59/308.35
  6. Step 6: Final answer
    x = 218.21

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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.