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Finding the Fourth Proportional to 464.59, 696.88 and 200.94

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Solution

The fourth proportional to 464.59, 696.88 and 200.94 is: 301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.59 : 696.88 = 200.94 : x
  2. Step 2: Convert to fraction form
    464.59/696.88 = 200.94/x
  3. Step 3: Cross multiply
    464.59x = 696.88 × 200.94
  4. Step 4: Simplify right side
    464.59x = 140,031.07
  5. Step 5: Solve for x
    x = 140,031.07/464.59
  6. Step 6: Final answer
    x = 301.41

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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.