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Finding the Fourth Proportional to 497.14, 686.09 and 276.14

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Solution

The fourth proportional to 497.14, 686.09 and 276.14 is: 381.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.14 : 686.09 = 276.14 : x
  2. Step 2: Convert to fraction form
    497.14/686.09 = 276.14/x
  3. Step 3: Cross multiply
    497.14x = 686.09 × 276.14
  4. Step 4: Simplify right side
    497.14x = 189,456.89
  5. Step 5: Solve for x
    x = 189,456.89/497.14
  6. Step 6: Final answer
    x = 381.09

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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.