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Finding the Fourth Proportional to 495.86, 684.28 and 286.15

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Solution

The fourth proportional to 495.86, 684.28 and 286.15 is: 394.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.86 : 684.28 = 286.15 : x
  2. Step 2: Convert to fraction form
    495.86/684.28 = 286.15/x
  3. Step 3: Cross multiply
    495.86x = 684.28 × 286.15
  4. Step 4: Simplify right side
    495.86x = 195,805.29
  5. Step 5: Solve for x
    x = 195,805.29/495.86
  6. Step 6: Final answer
    x = 394.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.