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Finding the Fourth Proportional to 235.42, 325.02 and 160.82

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Solution

The fourth proportional to 235.42, 325.02 and 160.82 is: 222.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.42 : 325.02 = 160.82 : x
  2. Step 2: Convert to fraction form
    235.42/325.02 = 160.82/x
  3. Step 3: Cross multiply
    235.42x = 325.02 × 160.82
  4. Step 4: Simplify right side
    235.42x = 52,268.09
  5. Step 5: Solve for x
    x = 52,268.09/235.42
  6. Step 6: Final answer
    x = 222.03

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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.