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Finding the Fourth Proportional to 445.31, 613.91 and 347.21

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Solution

The fourth proportional to 445.31, 613.91 and 347.21 is: 478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.31 : 613.91 = 347.21 : x
  2. Step 2: Convert to fraction form
    445.31/613.91 = 347.21/x
  3. Step 3: Cross multiply
    445.31x = 613.91 × 347.21
  4. Step 4: Simplify right side
    445.31x = 213,153.49
  5. Step 5: Solve for x
    x = 213,153.49/445.31
  6. Step 6: Final answer
    x = 478.67

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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.