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Finding the Fourth Proportional to 380.20, 570.21 and 174.64

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Solution

The fourth proportional to 380.20, 570.21 and 174.64 is: 261.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.20 : 570.21 = 174.64 : x
  2. Step 2: Convert to fraction form
    380.20/570.21 = 174.64/x
  3. Step 3: Cross multiply
    380.20x = 570.21 × 174.64
  4. Step 4: Simplify right side
    380.20x = 99,581.47
  5. Step 5: Solve for x
    x = 99,581.47/380.20
  6. Step 6: Final answer
    x = 261.92

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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.