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Finding the Fourth Proportional to 316.83, 437.23 and 206.50

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Solution

The fourth proportional to 316.83, 437.23 and 206.50 is: 284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.83 : 437.23 = 206.50 : x
  2. Step 2: Convert to fraction form
    316.83/437.23 = 206.50/x
  3. Step 3: Cross multiply
    316.83x = 437.23 × 206.50
  4. Step 4: Simplify right side
    316.83x = 90,287.98
  5. Step 5: Solve for x
    x = 90,287.98/316.83
  6. Step 6: Final answer
    x = 284.97

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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.