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Finding the Fourth Proportional to 331.29, 497.07 and 148.77

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Solution

The fourth proportional to 331.29, 497.07 and 148.77 is: 223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.29 : 497.07 = 148.77 : x
  2. Step 2: Convert to fraction form
    331.29/497.07 = 148.77/x
  3. Step 3: Cross multiply
    331.29x = 497.07 × 148.77
  4. Step 4: Simplify right side
    331.29x = 73,949.10
  5. Step 5: Solve for x
    x = 73,949.10/331.29
  6. Step 6: Final answer
    x = 223.22

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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.