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Finding the Fourth Proportional to 333.83, 460.22 and 294.68

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Solution

The fourth proportional to 333.83, 460.22 and 294.68 is: 406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.83 : 460.22 = 294.68 : x
  2. Step 2: Convert to fraction form
    333.83/460.22 = 294.68/x
  3. Step 3: Cross multiply
    333.83x = 460.22 × 294.68
  4. Step 4: Simplify right side
    333.83x = 135,617.31
  5. Step 5: Solve for x
    x = 135,617.31/333.83
  6. Step 6: Final answer
    x = 406.24

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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.