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Finding the Fourth Proportional to 495.96, 684.46 and 286.14

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Solution

The fourth proportional to 495.96, 684.46 and 286.14 is: 394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.96 : 684.46 = 286.14 : x
  2. Step 2: Convert to fraction form
    495.96/684.46 = 286.14/x
  3. Step 3: Cross multiply
    495.96x = 684.46 × 286.14
  4. Step 4: Simplify right side
    495.96x = 195,851.74
  5. Step 5: Solve for x
    x = 195,851.74/495.96
  6. Step 6: Final answer
    x = 394.90

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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.