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Finding the Fourth Proportional to 331.57, 497.34 and 166.98

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Solution

The fourth proportional to 331.57, 497.34 and 166.98 is: 250.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.57 : 497.34 = 166.98 : x
  2. Step 2: Convert to fraction form
    331.57/497.34 = 166.98/x
  3. Step 3: Cross multiply
    331.57x = 497.34 × 166.98
  4. Step 4: Simplify right side
    331.57x = 83,045.83
  5. Step 5: Solve for x
    x = 83,045.83/331.57
  6. Step 6: Final answer
    x = 250.46

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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.