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Finding the Fourth Proportional to 293.56, 441.81 and 220.81

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Solution

The fourth proportional to 293.56, 441.81 and 220.81 is: 332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.56 : 441.81 = 220.81 : x
  2. Step 2: Convert to fraction form
    293.56/441.81 = 220.81/x
  3. Step 3: Cross multiply
    293.56x = 441.81 × 220.81
  4. Step 4: Simplify right side
    293.56x = 97,554.08
  5. Step 5: Solve for x
    x = 97,554.08/293.56
  6. Step 6: Final answer
    x = 332.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.