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Finding the Fourth Proportional to 686.19, 1,029.30 and 199.29

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Solution

The fourth proportional to 686.19, 1,029.30 and 199.29 is: 298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.19 : 1,029.30 = 199.29 : x
  2. Step 2: Convert to fraction form
    686.19/1,029.30 = 199.29/x
  3. Step 3: Cross multiply
    686.19x = 1,029.30 × 199.29
  4. Step 4: Simplify right side
    686.19x = 205,128.20
  5. Step 5: Solve for x
    x = 205,128.20/686.19
  6. Step 6: Final answer
    x = 298.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.