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Finding the Fourth Proportional to 258.40, 384.38 and 251.38

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Solution

The fourth proportional to 258.40, 384.38 and 251.38 is: 373.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.40 : 384.38 = 251.38 : x
  2. Step 2: Convert to fraction form
    258.40/384.38 = 251.38/x
  3. Step 3: Cross multiply
    258.40x = 384.38 × 251.38
  4. Step 4: Simplify right side
    258.40x = 96,625.44
  5. Step 5: Solve for x
    x = 96,625.44/258.40
  6. Step 6: Final answer
    x = 373.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.