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Finding the Fourth Proportional to 467.05, 644.07 and 280.57

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Solution

The fourth proportional to 467.05, 644.07 and 280.57 is: 386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.05 : 644.07 = 280.57 : x
  2. Step 2: Convert to fraction form
    467.05/644.07 = 280.57/x
  3. Step 3: Cross multiply
    467.05x = 644.07 × 280.57
  4. Step 4: Simplify right side
    467.05x = 180,706.72
  5. Step 5: Solve for x
    x = 180,706.72/467.05
  6. Step 6: Final answer
    x = 386.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.