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Finding the Fourth Proportional to 335.15, 502.50 and 270.23

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Solution

The fourth proportional to 335.15, 502.50 and 270.23 is: 405.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.15 : 502.50 = 270.23 : x
  2. Step 2: Convert to fraction form
    335.15/502.50 = 270.23/x
  3. Step 3: Cross multiply
    335.15x = 502.50 × 270.23
  4. Step 4: Simplify right side
    335.15x = 135,788.06
  5. Step 5: Solve for x
    x = 135,788.06/335.15
  6. Step 6: Final answer
    x = 405.16

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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.