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Finding the Fourth Proportional to 671.28, 1,006.90 and 238.48

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Solution

The fourth proportional to 671.28, 1,006.90 and 238.48 is: 357.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.28 : 1,006.90 = 238.48 : x
  2. Step 2: Convert to fraction form
    671.28/1,006.90 = 238.48/x
  3. Step 3: Cross multiply
    671.28x = 1,006.90 × 238.48
  4. Step 4: Simplify right side
    671.28x = 240,125.51
  5. Step 5: Solve for x
    x = 240,125.51/671.28
  6. Step 6: Final answer
    x = 357.71

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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.