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Finding the Fourth Proportional to 379.83, 570 and 174.40

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Solution

The fourth proportional to 379.83, 570 and 174.40 is: 261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.83 : 570 = 174.40 : x
  2. Step 2: Convert to fraction form
    379.83/570 = 174.40/x
  3. Step 3: Cross multiply
    379.83x = 570 × 174.40
  4. Step 4: Simplify right side
    379.83x = 99,406.58
  5. Step 5: Solve for x
    x = 99,406.58/379.83
  6. Step 6: Final answer
    x = 261.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.