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Finding the Fourth Proportional to 337.09, 505.69 and 128.95

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Solution

The fourth proportional to 337.09, 505.69 and 128.95 is: 193.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.09 : 505.69 = 128.95 : x
  2. Step 2: Convert to fraction form
    337.09/505.69 = 128.95/x
  3. Step 3: Cross multiply
    337.09x = 505.69 × 128.95
  4. Step 4: Simplify right side
    337.09x = 65,208.73
  5. Step 5: Solve for x
    x = 65,208.73/337.09
  6. Step 6: Final answer
    x = 193.45

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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.