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Finding the Fourth Proportional to 375.02, 516.54 and 325.04

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Solution

The fourth proportional to 375.02, 516.54 and 325.04 is: 447.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.02 : 516.54 = 325.04 : x
  2. Step 2: Convert to fraction form
    375.02/516.54 = 325.04/x
  3. Step 3: Cross multiply
    375.02x = 516.54 × 325.04
  4. Step 4: Simplify right side
    375.02x = 167,896.16
  5. Step 5: Solve for x
    x = 167,896.16/375.02
  6. Step 6: Final answer
    x = 447.70

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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.