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Finding the Fourth Proportional to 335.10, 502.20 and 142.50

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Solution

The fourth proportional to 335.10, 502.20 and 142.50 is: 213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.10 : 502.20 = 142.50 : x
  2. Step 2: Convert to fraction form
    335.10/502.20 = 142.50/x
  3. Step 3: Cross multiply
    335.10x = 502.20 × 142.50
  4. Step 4: Simplify right side
    335.10x = 71,563.50
  5. Step 5: Solve for x
    x = 71,563.50/335.10
  6. Step 6: Final answer
    x = 213.56

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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.