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Finding the Fourth Proportional to 308.15, 462 and 145.74

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Solution

The fourth proportional to 308.15, 462 and 145.74 is: 218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.15 : 462 = 145.74 : x
  2. Step 2: Convert to fraction form
    308.15/462 = 145.74/x
  3. Step 3: Cross multiply
    308.15x = 462 × 145.74
  4. Step 4: Simplify right side
    308.15x = 67,331.88
  5. Step 5: Solve for x
    x = 67,331.88/308.15
  6. Step 6: Final answer
    x = 218.51

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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.