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Finding the Fourth Proportional to 352.07, 523.95 and 339.11

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Solution

The fourth proportional to 352.07, 523.95 and 339.11 is: 504.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.07 : 523.95 = 339.11 : x
  2. Step 2: Convert to fraction form
    352.07/523.95 = 339.11/x
  3. Step 3: Cross multiply
    352.07x = 523.95 × 339.11
  4. Step 4: Simplify right side
    352.07x = 177,674.06
  5. Step 5: Solve for x
    x = 177,674.06/352.07
  6. Step 6: Final answer
    x = 504.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.