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Finding the Fourth Proportional to 335.24, 500.37 and 281.32

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Solution

The fourth proportional to 335.24, 500.37 and 281.32 is: 419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.24 : 500.37 = 281.32 : x
  2. Step 2: Convert to fraction form
    335.24/500.37 = 281.32/x
  3. Step 3: Cross multiply
    335.24x = 500.37 × 281.32
  4. Step 4: Simplify right side
    335.24x = 140,764.09
  5. Step 5: Solve for x
    x = 140,764.09/335.24
  6. Step 6: Final answer
    x = 419.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.