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Finding the Fourth Proportional to 374.37, 516.25 and 322.09

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Solution

The fourth proportional to 374.37, 516.25 and 322.09 is: 444.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.37 : 516.25 = 322.09 : x
  2. Step 2: Convert to fraction form
    374.37/516.25 = 322.09/x
  3. Step 3: Cross multiply
    374.37x = 516.25 × 322.09
  4. Step 4: Simplify right side
    374.37x = 166,278.07
  5. Step 5: Solve for x
    x = 166,278.07/374.37
  6. Step 6: Final answer
    x = 444.16

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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.