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Finding the Fourth Proportional to 335.83, 503.06 and 213.52

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Solution

The fourth proportional to 335.83, 503.06 and 213.52 is: 319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.83 : 503.06 = 213.52 : x
  2. Step 2: Convert to fraction form
    335.83/503.06 = 213.52/x
  3. Step 3: Cross multiply
    335.83x = 503.06 × 213.52
  4. Step 4: Simplify right side
    335.83x = 107,413.37
  5. Step 5: Solve for x
    x = 107,413.37/335.83
  6. Step 6: Final answer
    x = 319.84

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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.