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Finding the Fourth Proportional to 253.66, 378.56 and 239.44

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Solution

The fourth proportional to 253.66, 378.56 and 239.44 is: 357.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.66 : 378.56 = 239.44 : x
  2. Step 2: Convert to fraction form
    253.66/378.56 = 239.44/x
  3. Step 3: Cross multiply
    253.66x = 378.56 × 239.44
  4. Step 4: Simplify right side
    253.66x = 90,642.41
  5. Step 5: Solve for x
    x = 90,642.41/253.66
  6. Step 6: Final answer
    x = 357.34

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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.