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Finding the Fourth Proportional to 379.51, 571.32 and 258.55

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Solution

The fourth proportional to 379.51, 571.32 and 258.55 is: 389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.51 : 571.32 = 258.55 : x
  2. Step 2: Convert to fraction form
    379.51/571.32 = 258.55/x
  3. Step 3: Cross multiply
    379.51x = 571.32 × 258.55
  4. Step 4: Simplify right side
    379.51x = 147,713.36
  5. Step 5: Solve for x
    x = 147,713.36/379.51
  6. Step 6: Final answer
    x = 389.22

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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.