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Finding the Fourth Proportional to 254.34, 378.47 and 253.94

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Solution

The fourth proportional to 254.34, 378.47 and 253.94 is: 377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.34 : 378.47 = 253.94 : x
  2. Step 2: Convert to fraction form
    254.34/378.47 = 253.94/x
  3. Step 3: Cross multiply
    254.34x = 378.47 × 253.94
  4. Step 4: Simplify right side
    254.34x = 96,107.41
  5. Step 5: Solve for x
    x = 96,107.41/254.34
  6. Step 6: Final answer
    x = 377.87

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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.