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Finding the Fourth Proportional to 242.56, 335.26 and 193.36

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Solution

The fourth proportional to 242.56, 335.26 and 193.36 is: 267.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.56 : 335.26 = 193.36 : x
  2. Step 2: Convert to fraction form
    242.56/335.26 = 193.36/x
  3. Step 3: Cross multiply
    242.56x = 335.26 × 193.36
  4. Step 4: Simplify right side
    242.56x = 64,825.87
  5. Step 5: Solve for x
    x = 64,825.87/242.56
  6. Step 6: Final answer
    x = 267.26

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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.