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Finding the Fourth Proportional to 331.01, 456.71 and 200.01

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Solution

The fourth proportional to 331.01, 456.71 and 200.01 is: 275.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.01 : 456.71 = 200.01 : x
  2. Step 2: Convert to fraction form
    331.01/456.71 = 200.01/x
  3. Step 3: Cross multiply
    331.01x = 456.71 × 200.01
  4. Step 4: Simplify right side
    331.01x = 91,347.07
  5. Step 5: Solve for x
    x = 91,347.07/331.01
  6. Step 6: Final answer
    x = 275.97

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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.