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Finding the Fourth Proportional to 258.30, 387.22 and 193.22

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Solution

The fourth proportional to 258.30, 387.22 and 193.22 is: 289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.30 : 387.22 = 193.22 : x
  2. Step 2: Convert to fraction form
    258.30/387.22 = 193.22/x
  3. Step 3: Cross multiply
    258.30x = 387.22 × 193.22
  4. Step 4: Simplify right side
    258.30x = 74,818.65
  5. Step 5: Solve for x
    x = 74,818.65/258.30
  6. Step 6: Final answer
    x = 289.66

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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.