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Finding the Fourth Proportional to 350.26, 522.73 and 342.07

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Solution

The fourth proportional to 350.26, 522.73 and 342.07 is: 510.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.26 : 522.73 = 342.07 : x
  2. Step 2: Convert to fraction form
    350.26/522.73 = 342.07/x
  3. Step 3: Cross multiply
    350.26x = 522.73 × 342.07
  4. Step 4: Simplify right side
    350.26x = 178,810.25
  5. Step 5: Solve for x
    x = 178,810.25/350.26
  6. Step 6: Final answer
    x = 510.51

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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.