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Finding the Fourth Proportional to 333.86, 460.55 and 209.28

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Solution

The fourth proportional to 333.86, 460.55 and 209.28 is: 288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.86 : 460.55 = 209.28 : x
  2. Step 2: Convert to fraction form
    333.86/460.55 = 209.28/x
  3. Step 3: Cross multiply
    333.86x = 460.55 × 209.28
  4. Step 4: Simplify right side
    333.86x = 96,382.86
  5. Step 5: Solve for x
    x = 96,382.86/333.86
  6. Step 6: Final answer
    x = 288.70

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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.