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Finding the Fourth Proportional to 243.63, 335.75 and 178.16

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Solution

The fourth proportional to 243.63, 335.75 and 178.16 is: 245.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.63 : 335.75 = 178.16 : x
  2. Step 2: Convert to fraction form
    243.63/335.75 = 178.16/x
  3. Step 3: Cross multiply
    243.63x = 335.75 × 178.16
  4. Step 4: Simplify right side
    243.63x = 59,814.65
  5. Step 5: Solve for x
    x = 59,814.65/243.63
  6. Step 6: Final answer
    x = 245.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.