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Finding the Fourth Proportional to 467.34, 644.93 and 257.53

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Solution

The fourth proportional to 467.34, 644.93 and 257.53 is: 355.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.34 : 644.93 = 257.53 : x
  2. Step 2: Convert to fraction form
    467.34/644.93 = 257.53/x
  3. Step 3: Cross multiply
    467.34x = 644.93 × 257.53
  4. Step 4: Simplify right side
    467.34x = 166,087.42
  5. Step 5: Solve for x
    x = 166,087.42/467.34
  6. Step 6: Final answer
    x = 355.39

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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.