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Finding the Fourth Proportional to 335.60, 502.99 and 142.82

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Solution

The fourth proportional to 335.60, 502.99 and 142.82 is: 214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.60 : 502.99 = 142.82 : x
  2. Step 2: Convert to fraction form
    335.60/502.99 = 142.82/x
  3. Step 3: Cross multiply
    335.60x = 502.99 × 142.82
  4. Step 4: Simplify right side
    335.60x = 71,833.80
  5. Step 5: Solve for x
    x = 71,833.80/335.60
  6. Step 6: Final answer
    x = 214.05

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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.