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Finding the Fourth Proportional to 333.90, 460.78 and 202.86

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Solution

The fourth proportional to 333.90, 460.78 and 202.86 is: 279.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.90 : 460.78 = 202.86 : x
  2. Step 2: Convert to fraction form
    333.90/460.78 = 202.86/x
  3. Step 3: Cross multiply
    333.90x = 460.78 × 202.86
  4. Step 4: Simplify right side
    333.90x = 93,473.83
  5. Step 5: Solve for x
    x = 93,473.83/333.90
  6. Step 6: Final answer
    x = 279.95

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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.