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Finding the Fourth Proportional to 260.78, 388.08 and 251.06

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Solution

The fourth proportional to 260.78, 388.08 and 251.06 is: 373.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.78 : 388.08 = 251.06 : x
  2. Step 2: Convert to fraction form
    260.78/388.08 = 251.06/x
  3. Step 3: Cross multiply
    260.78x = 388.08 × 251.06
  4. Step 4: Simplify right side
    260.78x = 97,429.42
  5. Step 5: Solve for x
    x = 97,429.42/260.78
  6. Step 6: Final answer
    x = 373.61

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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.