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Finding the Fourth Proportional to 336.50, 507.40 and 273.14

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Solution

The fourth proportional to 336.50, 507.40 and 273.14 is: 411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.50 : 507.40 = 273.14 : x
  2. Step 2: Convert to fraction form
    336.50/507.40 = 273.14/x
  3. Step 3: Cross multiply
    336.50x = 507.40 × 273.14
  4. Step 4: Simplify right side
    336.50x = 138,589.87
  5. Step 5: Solve for x
    x = 138,589.87/336.50
  6. Step 6: Final answer
    x = 411.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.