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Finding the Fourth Proportional to 344.47, 516.77 and 128.05

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Solution

The fourth proportional to 344.47, 516.77 and 128.05 is: 192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.47 : 516.77 = 128.05 : x
  2. Step 2: Convert to fraction form
    344.47/516.77 = 128.05/x
  3. Step 3: Cross multiply
    344.47x = 516.77 × 128.05
  4. Step 4: Simplify right side
    344.47x = 66,172.40
  5. Step 5: Solve for x
    x = 66,172.40/344.47
  6. Step 6: Final answer
    x = 192.10

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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.