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Finding the Fourth Proportional to 467.30, 644.87 and 257.48

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Solution

The fourth proportional to 467.30, 644.87 and 257.48 is: 355.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.30 : 644.87 = 257.48 : x
  2. Step 2: Convert to fraction form
    467.30/644.87 = 257.48/x
  3. Step 3: Cross multiply
    467.30x = 644.87 × 257.48
  4. Step 4: Simplify right side
    467.30x = 166,037.26
  5. Step 5: Solve for x
    x = 166,037.26/467.30
  6. Step 6: Final answer
    x = 355.31

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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.