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Finding the Fourth Proportional to 333.86, 500.58 and 138.80

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Solution

The fourth proportional to 333.86, 500.58 and 138.80 is: 208.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.86 : 500.58 = 138.80 : x
  2. Step 2: Convert to fraction form
    333.86/500.58 = 138.80/x
  3. Step 3: Cross multiply
    333.86x = 500.58 × 138.80
  4. Step 4: Simplify right side
    333.86x = 69,478.00
  5. Step 5: Solve for x
    x = 69,478.00/333.86
  6. Step 6: Final answer
    x = 208.11

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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.