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Finding the Fourth Proportional to 338.82, 507.36 and 236.36

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Solution

The fourth proportional to 338.82, 507.36 and 236.36 is: 353.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.82 : 507.36 = 236.36 : x
  2. Step 2: Convert to fraction form
    338.82/507.36 = 236.36/x
  3. Step 3: Cross multiply
    338.82x = 507.36 × 236.36
  4. Step 4: Simplify right side
    338.82x = 119,919.61
  5. Step 5: Solve for x
    x = 119,919.61/338.82
  6. Step 6: Final answer
    x = 353.93

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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.