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Finding the Fourth Proportional to 335.79, 502.65 and 213.67

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Solution

The fourth proportional to 335.79, 502.65 and 213.67 is: 319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.79 : 502.65 = 213.67 : x
  2. Step 2: Convert to fraction form
    335.79/502.65 = 213.67/x
  3. Step 3: Cross multiply
    335.79x = 502.65 × 213.67
  4. Step 4: Simplify right side
    335.79x = 107,401.23
  5. Step 5: Solve for x
    x = 107,401.23/335.79
  6. Step 6: Final answer
    x = 319.85

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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.