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Finding the Fourth Proportional to 333.38, 460.22 and 259.57

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Solution

The fourth proportional to 333.38, 460.22 and 259.57 is: 358.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.38 : 460.22 = 259.57 : x
  2. Step 2: Convert to fraction form
    333.38/460.22 = 259.57/x
  3. Step 3: Cross multiply
    333.38x = 460.22 × 259.57
  4. Step 4: Simplify right side
    333.38x = 119,458.58
  5. Step 5: Solve for x
    x = 119,458.58/333.38
  6. Step 6: Final answer
    x = 358.32

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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.