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Finding the Fourth Proportional to 340.92, 511.10 and 286.76

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Solution

The fourth proportional to 340.92, 511.10 and 286.76 is: 429.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.92 : 511.10 = 286.76 : x
  2. Step 2: Convert to fraction form
    340.92/511.10 = 286.76/x
  3. Step 3: Cross multiply
    340.92x = 511.10 × 286.76
  4. Step 4: Simplify right side
    340.92x = 146,563.04
  5. Step 5: Solve for x
    x = 146,563.04/340.92
  6. Step 6: Final answer
    x = 429.90

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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.