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Finding the Fourth Proportional to 258.62, 389.72 and 213.98

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Solution

The fourth proportional to 258.62, 389.72 and 213.98 is: 322.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.62 : 389.72 = 213.98 : x
  2. Step 2: Convert to fraction form
    258.62/389.72 = 213.98/x
  3. Step 3: Cross multiply
    258.62x = 389.72 × 213.98
  4. Step 4: Simplify right side
    258.62x = 83,389.27
  5. Step 5: Solve for x
    x = 83,389.27/258.62
  6. Step 6: Final answer
    x = 322.44

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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.