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Finding the Fourth Proportional to 383.38, 572.57 and 306.46

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Solution

The fourth proportional to 383.38, 572.57 and 306.46 is: 457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.38 : 572.57 = 306.46 : x
  2. Step 2: Convert to fraction form
    383.38/572.57 = 306.46/x
  3. Step 3: Cross multiply
    383.38x = 572.57 × 306.46
  4. Step 4: Simplify right side
    383.38x = 175,469.80
  5. Step 5: Solve for x
    x = 175,469.80/383.38
  6. Step 6: Final answer
    x = 457.69

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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.