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Finding the Fourth Proportional to 253.49, 378.15 and 241.88

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Solution

The fourth proportional to 253.49, 378.15 and 241.88 is: 360.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.49 : 378.15 = 241.88 : x
  2. Step 2: Convert to fraction form
    253.49/378.15 = 241.88/x
  3. Step 3: Cross multiply
    253.49x = 378.15 × 241.88
  4. Step 4: Simplify right side
    253.49x = 91,465.03
  5. Step 5: Solve for x
    x = 91,465.03/253.49
  6. Step 6: Final answer
    x = 360.83

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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.