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Finding the Fourth Proportional to 164.67, 248.02 and 160.57

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Solution

The fourth proportional to 164.67, 248.02 and 160.57 is: 241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.67 : 248.02 = 160.57 : x
  2. Step 2: Convert to fraction form
    164.67/248.02 = 160.57/x
  3. Step 3: Cross multiply
    164.67x = 248.02 × 160.57
  4. Step 4: Simplify right side
    164.67x = 39,825.08
  5. Step 5: Solve for x
    x = 39,825.08/164.67
  6. Step 6: Final answer
    x = 241.85

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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.