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Finding the Fourth Proportional to 447.99, 671.71 and 155.34

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Solution

The fourth proportional to 447.99, 671.71 and 155.34 is: 232.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.99 : 671.71 = 155.34 : x
  2. Step 2: Convert to fraction form
    447.99/671.71 = 155.34/x
  3. Step 3: Cross multiply
    447.99x = 671.71 × 155.34
  4. Step 4: Simplify right side
    447.99x = 104,339.30
  5. Step 5: Solve for x
    x = 104,339.30/447.99
  6. Step 6: Final answer
    x = 232.91

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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.