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Finding the Fourth Proportional to 350.21, 522.55 and 342.34

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Solution

The fourth proportional to 350.21, 522.55 and 342.34 is: 510.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.21 : 522.55 = 342.34 : x
  2. Step 2: Convert to fraction form
    350.21/522.55 = 342.34/x
  3. Step 3: Cross multiply
    350.21x = 522.55 × 342.34
  4. Step 4: Simplify right side
    350.21x = 178,887.15
  5. Step 5: Solve for x
    x = 178,887.15/350.21
  6. Step 6: Final answer
    x = 510.80

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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.