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Finding the Fourth Proportional to 344.19, 516.54 and 266.96

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Solution

The fourth proportional to 344.19, 516.54 and 266.96 is: 400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.19 : 516.54 = 266.96 : x
  2. Step 2: Convert to fraction form
    344.19/516.54 = 266.96/x
  3. Step 3: Cross multiply
    344.19x = 516.54 × 266.96
  4. Step 4: Simplify right side
    344.19x = 137,894.37
  5. Step 5: Solve for x
    x = 137,894.37/344.19
  6. Step 6: Final answer
    x = 400.64

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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.