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Finding the Fourth Proportional to 253.54, 378.32 and 238.06

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Solution

The fourth proportional to 253.54, 378.32 and 238.06 is: 355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.54 : 378.32 = 238.06 : x
  2. Step 2: Convert to fraction form
    253.54/378.32 = 238.06/x
  3. Step 3: Cross multiply
    253.54x = 378.32 × 238.06
  4. Step 4: Simplify right side
    253.54x = 90,062.86
  5. Step 5: Solve for x
    x = 90,062.86/253.54
  6. Step 6: Final answer
    x = 355.22

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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.