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Finding the Fourth Proportional to 379.52, 568.20 and 257.60

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Solution

The fourth proportional to 379.52, 568.20 and 257.60 is: 385.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.52 : 568.20 = 257.60 : x
  2. Step 2: Convert to fraction form
    379.52/568.20 = 257.60/x
  3. Step 3: Cross multiply
    379.52x = 568.20 × 257.60
  4. Step 4: Simplify right side
    379.52x = 146,368.32
  5. Step 5: Solve for x
    x = 146,368.32/379.52
  6. Step 6: Final answer
    x = 385.67

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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.