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Finding the Fourth Proportional to 335.25, 503.10 and 142.92

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Solution

The fourth proportional to 335.25, 503.10 and 142.92 is: 214.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.25 : 503.10 = 142.92 : x
  2. Step 2: Convert to fraction form
    335.25/503.10 = 142.92/x
  3. Step 3: Cross multiply
    335.25x = 503.10 × 142.92
  4. Step 4: Simplify right side
    335.25x = 71,903.05
  5. Step 5: Solve for x
    x = 71,903.05/335.25
  6. Step 6: Final answer
    x = 214.48

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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.