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Finding the Fourth Proportional to 340.73, 511.85 and 210.83

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Solution

The fourth proportional to 340.73, 511.85 and 210.83 is: 316.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.73 : 511.85 = 210.83 : x
  2. Step 2: Convert to fraction form
    340.73/511.85 = 210.83/x
  3. Step 3: Cross multiply
    340.73x = 511.85 × 210.83
  4. Step 4: Simplify right side
    340.73x = 107,909.72
  5. Step 5: Solve for x
    x = 107,909.72/340.73
  6. Step 6: Final answer
    x = 316.71

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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.