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Finding the Fourth Proportional to 254.22, 348.78 and 247.38

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Solution

The fourth proportional to 254.22, 348.78 and 247.38 is: 339.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.22 : 348.78 = 247.38 : x
  2. Step 2: Convert to fraction form
    254.22/348.78 = 247.38/x
  3. Step 3: Cross multiply
    254.22x = 348.78 × 247.38
  4. Step 4: Simplify right side
    254.22x = 86,281.20
  5. Step 5: Solve for x
    x = 86,281.20/254.22
  6. Step 6: Final answer
    x = 339.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.