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Finding the Fourth Proportional to 349.30, 522.42 and 311.05

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Solution

The fourth proportional to 349.30, 522.42 and 311.05 is: 465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.30 : 522.42 = 311.05 : x
  2. Step 2: Convert to fraction form
    349.30/522.42 = 311.05/x
  3. Step 3: Cross multiply
    349.30x = 522.42 × 311.05
  4. Step 4: Simplify right side
    349.30x = 162,498.74
  5. Step 5: Solve for x
    x = 162,498.74/349.30
  6. Step 6: Final answer
    x = 465.21

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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.