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Finding the Fourth Proportional to 333.60, 500.85 and 212.40

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Solution

The fourth proportional to 333.60, 500.85 and 212.40 is: 318.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.60 : 500.85 = 212.40 : x
  2. Step 2: Convert to fraction form
    333.60/500.85 = 212.40/x
  3. Step 3: Cross multiply
    333.60x = 500.85 × 212.40
  4. Step 4: Simplify right side
    333.60x = 106,380.54
  5. Step 5: Solve for x
    x = 106,380.54/333.60
  6. Step 6: Final answer
    x = 318.89

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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.