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Finding the Fourth Proportional to 383.96, 573.16 and 355.41

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Solution

The fourth proportional to 383.96, 573.16 and 355.41 is: 530.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.96 : 573.16 = 355.41 : x
  2. Step 2: Convert to fraction form
    383.96/573.16 = 355.41/x
  3. Step 3: Cross multiply
    383.96x = 573.16 × 355.41
  4. Step 4: Simplify right side
    383.96x = 203,705.02
  5. Step 5: Solve for x
    x = 203,705.02/383.96
  6. Step 6: Final answer
    x = 530.54

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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.