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Finding the Fourth Proportional to 379.79, 571.76 and 258.82

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Solution

The fourth proportional to 379.79, 571.76 and 258.82 is: 389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.79 : 571.76 = 258.82 : x
  2. Step 2: Convert to fraction form
    379.79/571.76 = 258.82/x
  3. Step 3: Cross multiply
    379.79x = 571.76 × 258.82
  4. Step 4: Simplify right side
    379.79x = 147,982.78
  5. Step 5: Solve for x
    x = 147,982.78/379.79
  6. Step 6: Final answer
    x = 389.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.