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Finding the Fourth Proportional to 331.01, 496.32 and 99.83

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Solution

The fourth proportional to 331.01, 496.32 and 99.83 is: 149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.01 : 496.32 = 99.83 : x
  2. Step 2: Convert to fraction form
    331.01/496.32 = 99.83/x
  3. Step 3: Cross multiply
    331.01x = 496.32 × 99.83
  4. Step 4: Simplify right side
    331.01x = 49,547.01
  5. Step 5: Solve for x
    x = 49,547.01/331.01
  6. Step 6: Final answer
    x = 149.68

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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.