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Finding the Fourth Proportional to 308.91, 460.74 and 277.92

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Solution

The fourth proportional to 308.91, 460.74 and 277.92 is: 414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.91 : 460.74 = 277.92 : x
  2. Step 2: Convert to fraction form
    308.91/460.74 = 277.92/x
  3. Step 3: Cross multiply
    308.91x = 460.74 × 277.92
  4. Step 4: Simplify right side
    308.91x = 128,048.86
  5. Step 5: Solve for x
    x = 128,048.86/308.91
  6. Step 6: Final answer
    x = 414.52

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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.