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Finding the Fourth Proportional to 383.32, 574.68 and 261.28

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Solution

The fourth proportional to 383.32, 574.68 and 261.28 is: 391.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.32 : 574.68 = 261.28 : x
  2. Step 2: Convert to fraction form
    383.32/574.68 = 261.28/x
  3. Step 3: Cross multiply
    383.32x = 574.68 × 261.28
  4. Step 4: Simplify right side
    383.32x = 150,152.39
  5. Step 5: Solve for x
    x = 150,152.39/383.32
  6. Step 6: Final answer
    x = 391.72

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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.