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Finding the Fourth Proportional to 671.28, 1,006.20 and 260.16

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Solution

The fourth proportional to 671.28, 1,006.20 and 260.16 is: 389.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.28 : 1,006.20 = 260.16 : x
  2. Step 2: Convert to fraction form
    671.28/1,006.20 = 260.16/x
  3. Step 3: Cross multiply
    671.28x = 1,006.20 × 260.16
  4. Step 4: Simplify right side
    671.28x = 261,772.99
  5. Step 5: Solve for x
    x = 261,772.99/671.28
  6. Step 6: Final answer
    x = 389.96

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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.