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Finding the Fourth Proportional to 160.95, 221.62 and 121.67

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Solution

The fourth proportional to 160.95, 221.62 and 121.67 is: 167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.95 : 221.62 = 121.67 : x
  2. Step 2: Convert to fraction form
    160.95/221.62 = 121.67/x
  3. Step 3: Cross multiply
    160.95x = 221.62 × 121.67
  4. Step 4: Simplify right side
    160.95x = 26,964.51
  5. Step 5: Solve for x
    x = 26,964.51/160.95
  6. Step 6: Final answer
    x = 167.53

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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.