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Finding the Fourth Proportional to 308.39, 462.77 and 257.66

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Solution

The fourth proportional to 308.39, 462.77 and 257.66 is: 386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.39 : 462.77 = 257.66 : x
  2. Step 2: Convert to fraction form
    308.39/462.77 = 257.66/x
  3. Step 3: Cross multiply
    308.39x = 462.77 × 257.66
  4. Step 4: Simplify right side
    308.39x = 119,233.72
  5. Step 5: Solve for x
    x = 119,233.72/308.39
  6. Step 6: Final answer
    x = 386.64

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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.