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Finding the Fourth Proportional to 317.02, 437.52 and 200.50

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Solution

The fourth proportional to 317.02, 437.52 and 200.50 is: 276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.02 : 437.52 = 200.50 : x
  2. Step 2: Convert to fraction form
    317.02/437.52 = 200.50/x
  3. Step 3: Cross multiply
    317.02x = 437.52 × 200.50
  4. Step 4: Simplify right side
    317.02x = 87,722.76
  5. Step 5: Solve for x
    x = 87,722.76/317.02
  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.