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Finding the Fourth Proportional to 556.38, 835.38 and 340.92

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Solution

The fourth proportional to 556.38, 835.38 and 340.92 is: 511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.38 : 835.38 = 340.92 : x
  2. Step 2: Convert to fraction form
    556.38/835.38 = 340.92/x
  3. Step 3: Cross multiply
    556.38x = 835.38 × 340.92
  4. Step 4: Simplify right side
    556.38x = 284,797.75
  5. Step 5: Solve for x
    x = 284,797.75/556.38
  6. Step 6: Final answer
    x = 511.88

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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.