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Finding the Fourth Proportional to 379.90, 570.15 and 197.42

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Solution

The fourth proportional to 379.90, 570.15 and 197.42 is: 296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.90 : 570.15 = 197.42 : x
  2. Step 2: Convert to fraction form
    379.90/570.15 = 197.42/x
  3. Step 3: Cross multiply
    379.90x = 570.15 × 197.42
  4. Step 4: Simplify right side
    379.90x = 112,556.16
  5. Step 5: Solve for x
    x = 112,556.16/379.90
  6. Step 6: Final answer
    x = 296.28

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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.