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Finding the Fourth Proportional to 350.20, 522.23 and 307.06

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Solution

The fourth proportional to 350.20, 522.23 and 307.06 is: 457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.20 : 522.23 = 307.06 : x
  2. Step 2: Convert to fraction form
    350.20/522.23 = 307.06/x
  3. Step 3: Cross multiply
    350.20x = 522.23 × 307.06
  4. Step 4: Simplify right side
    350.20x = 160,355.94
  5. Step 5: Solve for x
    x = 160,355.94/350.20
  6. Step 6: Final answer
    x = 457.90

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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.