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Finding the Fourth Proportional to 344.02, 516.01 and 97.23

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Solution

The fourth proportional to 344.02, 516.01 and 97.23 is: 145.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.02 : 516.01 = 97.23 : x
  2. Step 2: Convert to fraction form
    344.02/516.01 = 97.23/x
  3. Step 3: Cross multiply
    344.02x = 516.01 × 97.23
  4. Step 4: Simplify right side
    344.02x = 50,171.65
  5. Step 5: Solve for x
    x = 50,171.65/344.02
  6. Step 6: Final answer
    x = 145.84

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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.