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Finding the Fourth Proportional to 175.36, 242 and 97.74

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Solution

The fourth proportional to 175.36, 242 and 97.74 is: 134.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.36 : 242 = 97.74 : x
  2. Step 2: Convert to fraction form
    175.36/242 = 97.74/x
  3. Step 3: Cross multiply
    175.36x = 242 × 97.74
  4. Step 4: Simplify right side
    175.36x = 23,653.08
  5. Step 5: Solve for x
    x = 23,653.08/175.36
  6. Step 6: Final answer
    x = 134.88

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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.