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Finding the Fourth Proportional to 467.35, 644.93 and 257.54

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Solution

The fourth proportional to 467.35, 644.93 and 257.54 is: 355.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.35 : 644.93 = 257.54 : x
  2. Step 2: Convert to fraction form
    467.35/644.93 = 257.54/x
  3. Step 3: Cross multiply
    467.35x = 644.93 × 257.54
  4. Step 4: Simplify right side
    467.35x = 166,098.25
  5. Step 5: Solve for x
    x = 166,098.25/467.35
  6. Step 6: Final answer
    x = 355.41

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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.