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Finding the Fourth Proportional to 345.36, 516.88 and 236.56

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Solution

The fourth proportional to 345.36, 516.88 and 236.56 is: 354.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.36 : 516.88 = 236.56 : x
  2. Step 2: Convert to fraction form
    345.36/516.88 = 236.56/x
  3. Step 3: Cross multiply
    345.36x = 516.88 × 236.56
  4. Step 4: Simplify right side
    345.36x = 122,273.13
  5. Step 5: Solve for x
    x = 122,273.13/345.36
  6. Step 6: Final answer
    x = 354.05

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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.