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Finding the Fourth Proportional to 308.86, 461.06 and 262.71

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Solution

The fourth proportional to 308.86, 461.06 and 262.71 is: 392.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.86 : 461.06 = 262.71 : x
  2. Step 2: Convert to fraction form
    308.86/461.06 = 262.71/x
  3. Step 3: Cross multiply
    308.86x = 461.06 × 262.71
  4. Step 4: Simplify right side
    308.86x = 121,124.74
  5. Step 5: Solve for x
    x = 121,124.74/308.86
  6. Step 6: Final answer
    x = 392.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.