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Finding the Fourth Proportional to 160.95, 221.93 and 111.87

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Solution

The fourth proportional to 160.95, 221.93 and 111.87 is: 154.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.95 : 221.93 = 111.87 : x
  2. Step 2: Convert to fraction form
    160.95/221.93 = 111.87/x
  3. Step 3: Cross multiply
    160.95x = 221.93 × 111.87
  4. Step 4: Simplify right side
    160.95x = 24,826.75
  5. Step 5: Solve for x
    x = 24,826.75/160.95
  6. Step 6: Final answer
    x = 154.25

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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.