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Finding the Fourth Proportional to 344.40, 516.66 and 139.08

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Solution

The fourth proportional to 344.40, 516.66 and 139.08 is: 208.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.40 : 516.66 = 139.08 : x
  2. Step 2: Convert to fraction form
    344.40/516.66 = 139.08/x
  3. Step 3: Cross multiply
    344.40x = 516.66 × 139.08
  4. Step 4: Simplify right side
    344.40x = 71,857.07
  5. Step 5: Solve for x
    x = 71,857.07/344.40
  6. Step 6: Final answer
    x = 208.64

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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.