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Finding the Fourth Proportional to 375.44, 516.48 and 365.16

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Solution

The fourth proportional to 375.44, 516.48 and 365.16 is: 502.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.44 : 516.48 = 365.16 : x
  2. Step 2: Convert to fraction form
    375.44/516.48 = 365.16/x
  3. Step 3: Cross multiply
    375.44x = 516.48 × 365.16
  4. Step 4: Simplify right side
    375.44x = 188,597.84
  5. Step 5: Solve for x
    x = 188,597.84/375.44
  6. Step 6: Final answer
    x = 502.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.