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Finding the Fourth Proportional to 316.93, 437.40 and 200.50

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Solution

The fourth proportional to 316.93, 437.40 and 200.50 is: 276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.93 : 437.40 = 200.50 : x
  2. Step 2: Convert to fraction form
    316.93/437.40 = 200.50/x
  3. Step 3: Cross multiply
    316.93x = 437.40 × 200.50
  4. Step 4: Simplify right side
    316.93x = 87,698.70
  5. Step 5: Solve for x
    x = 87,698.70/316.93
  6. Step 6: Final answer
    x = 276.71

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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.