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Finding the Fourth Proportional to 160.08, 239.18 and 111.60

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Solution

The fourth proportional to 160.08, 239.18 and 111.60 is: 166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.08 : 239.18 = 111.60 : x
  2. Step 2: Convert to fraction form
    160.08/239.18 = 111.60/x
  3. Step 3: Cross multiply
    160.08x = 239.18 × 111.60
  4. Step 4: Simplify right side
    160.08x = 26,692.49
  5. Step 5: Solve for x
    x = 26,692.49/160.08
  6. Step 6: Final answer
    x = 166.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.