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Finding the Fourth Proportional to 474, 710.80 and 199.92

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Solution

The fourth proportional to 474, 710.80 and 199.92 is: 299.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    474 : 710.80 = 199.92 : x
  2. Step 2: Convert to fraction form
    474/710.80 = 199.92/x
  3. Step 3: Cross multiply
    474x = 710.80 × 199.92
  4. Step 4: Simplify right side
    474x = 142,103.14
  5. Step 5: Solve for x
    x = 142,103.14/474
  6. Step 6: Final answer
    x = 299.80

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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.