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Finding the Fourth Proportional to 254.15, 378.56 and 251.00

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Solution

The fourth proportional to 254.15, 378.56 and 251.00 is: 373.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.15 : 378.56 = 251.00 : x
  2. Step 2: Convert to fraction form
    254.15/378.56 = 251.00/x
  3. Step 3: Cross multiply
    254.15x = 378.56 × 251.00
  4. Step 4: Simplify right side
    254.15x = 95,015.41
  5. Step 5: Solve for x
    x = 95,015.41/254.15
  6. Step 6: Final answer
    x = 373.86

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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.