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Finding the Fourth Proportional to 160.95, 240.81 and 120.54

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Solution

The fourth proportional to 160.95, 240.81 and 120.54 is: 180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.95 : 240.81 = 120.54 : x
  2. Step 2: Convert to fraction form
    160.95/240.81 = 120.54/x
  3. Step 3: Cross multiply
    160.95x = 240.81 × 120.54
  4. Step 4: Simplify right side
    160.95x = 29,027.24
  5. Step 5: Solve for x
    x = 29,027.24/160.95
  6. Step 6: Final answer
    x = 180.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.