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Finding the Fourth Proportional to 333.86, 501.32 and 206.42

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Solution

The fourth proportional to 333.86, 501.32 and 206.42 is: 309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.86 : 501.32 = 206.42 : x
  2. Step 2: Convert to fraction form
    333.86/501.32 = 206.42/x
  3. Step 3: Cross multiply
    333.86x = 501.32 × 206.42
  4. Step 4: Simplify right side
    333.86x = 103,480.48
  5. Step 5: Solve for x
    x = 103,480.48/333.86
  6. Step 6: Final answer
    x = 309.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.