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Finding the Fourth Proportional to 254.18, 378.34 and 248.51

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Solution

The fourth proportional to 254.18, 378.34 and 248.51 is: 369.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.18 : 378.34 = 248.51 : x
  2. Step 2: Convert to fraction form
    254.18/378.34 = 248.51/x
  3. Step 3: Cross multiply
    254.18x = 378.34 × 248.51
  4. Step 4: Simplify right side
    254.18x = 94,021.27
  5. Step 5: Solve for x
    x = 94,021.27/254.18
  6. Step 6: Final answer
    x = 369.90

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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.