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Finding the Fourth Proportional to 253.42, 378.42 and 250.74

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Solution

The fourth proportional to 253.42, 378.42 and 250.74 is: 374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.42 : 378.42 = 250.74 : x
  2. Step 2: Convert to fraction form
    253.42/378.42 = 250.74/x
  3. Step 3: Cross multiply
    253.42x = 378.42 × 250.74
  4. Step 4: Simplify right side
    253.42x = 94,885.03
  5. Step 5: Solve for x
    x = 94,885.03/253.42
  6. Step 6: Final answer
    x = 374.42

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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.