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Finding the Fourth Proportional to 383.06, 572.34 and 278.44

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Solution

The fourth proportional to 383.06, 572.34 and 278.44 is: 416.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.06 : 572.34 = 278.44 : x
  2. Step 2: Convert to fraction form
    383.06/572.34 = 278.44/x
  3. Step 3: Cross multiply
    383.06x = 572.34 × 278.44
  4. Step 4: Simplify right side
    383.06x = 159,361.96
  5. Step 5: Solve for x
    x = 159,361.96/383.06
  6. Step 6: Final answer
    x = 416.02

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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.