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Finding the Fourth Proportional to 258.19, 389.05 and 213.52

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Solution

The fourth proportional to 258.19, 389.05 and 213.52 is: 321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.19 : 389.05 = 213.52 : x
  2. Step 2: Convert to fraction form
    258.19/389.05 = 213.52/x
  3. Step 3: Cross multiply
    258.19x = 389.05 × 213.52
  4. Step 4: Simplify right side
    258.19x = 83,069.96
  5. Step 5: Solve for x
    x = 83,069.96/258.19
  6. Step 6: Final answer
    x = 321.74

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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.