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Finding the Fourth Proportional to 335.77, 503.94 and 213.67

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Solution

The fourth proportional to 335.77, 503.94 and 213.67 is: 320.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.77 : 503.94 = 213.67 : x
  2. Step 2: Convert to fraction form
    335.77/503.94 = 213.67/x
  3. Step 3: Cross multiply
    335.77x = 503.94 × 213.67
  4. Step 4: Simplify right side
    335.77x = 107,676.86
  5. Step 5: Solve for x
    x = 107,676.86/335.77
  6. Step 6: Final answer
    x = 320.69

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