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Finding the Fourth Proportional to 421.17, 580.21 and 350

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Solution

The fourth proportional to 421.17, 580.21 and 350 is: 482.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.17 : 580.21 = 350 : x
  2. Step 2: Convert to fraction form
    421.17/580.21 = 350/x
  3. Step 3: Cross multiply
    421.17x = 580.21 × 350
  4. Step 4: Simplify right side
    421.17x = 203,073.50
  5. Step 5: Solve for x
    x = 203,073.50/421.17
  6. Step 6: Final answer
    x = 482.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.