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Finding the Fourth Proportional to 313.69, 469.66 and 236.42

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Solution

The fourth proportional to 313.69, 469.66 and 236.42 is: 353.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.69 : 469.66 = 236.42 : x
  2. Step 2: Convert to fraction form
    313.69/469.66 = 236.42/x
  3. Step 3: Cross multiply
    313.69x = 469.66 × 236.42
  4. Step 4: Simplify right side
    313.69x = 111,036.62
  5. Step 5: Solve for x
    x = 111,036.62/313.69
  6. Step 6: Final answer
    x = 353.97

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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.