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Finding the Fourth Proportional to 258.48, 388.25 and 251.65

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Solution

The fourth proportional to 258.48, 388.25 and 251.65 is: 377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.48 : 388.25 = 251.65 : x
  2. Step 2: Convert to fraction form
    258.48/388.25 = 251.65/x
  3. Step 3: Cross multiply
    258.48x = 388.25 × 251.65
  4. Step 4: Simplify right side
    258.48x = 97,703.11
  5. Step 5: Solve for x
    x = 97,703.11/258.48
  6. Step 6: Final answer
    x = 377.99

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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.