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Finding the Fourth Proportional to 383.71, 574.53 and 322.20

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Solution

The fourth proportional to 383.71, 574.53 and 322.20 is: 482.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.71 : 574.53 = 322.20 : x
  2. Step 2: Convert to fraction form
    383.71/574.53 = 322.20/x
  3. Step 3: Cross multiply
    383.71x = 574.53 × 322.20
  4. Step 4: Simplify right side
    383.71x = 185,113.57
  5. Step 5: Solve for x
    x = 185,113.57/383.71
  6. Step 6: Final answer
    x = 482.43

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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.