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Finding the Fourth Proportional to 463.87, 696.00 and 203.74

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Solution

The fourth proportional to 463.87, 696.00 and 203.74 is: 305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.87 : 696.00 = 203.74 : x
  2. Step 2: Convert to fraction form
    463.87/696.00 = 203.74/x
  3. Step 3: Cross multiply
    463.87x = 696.00 × 203.74
  4. Step 4: Simplify right side
    463.87x = 141,801.68
  5. Step 5: Solve for x
    x = 141,801.68/463.87
  6. Step 6: Final answer
    x = 305.69

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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.