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Finding the Fourth Proportional to 175.37, 264.43 and 161.02

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Solution

The fourth proportional to 175.37, 264.43 and 161.02 is: 242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.37 : 264.43 = 161.02 : x
  2. Step 2: Convert to fraction form
    175.37/264.43 = 161.02/x
  3. Step 3: Cross multiply
    175.37x = 264.43 × 161.02
  4. Step 4: Simplify right side
    175.37x = 42,578.52
  5. Step 5: Solve for x
    x = 42,578.52/175.37
  6. Step 6: Final answer
    x = 242.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.