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Finding the Fourth Proportional to 160.19, 239.38 and 119.14

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Solution

The fourth proportional to 160.19, 239.38 and 119.14 is: 178.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.19 : 239.38 = 119.14 : x
  2. Step 2: Convert to fraction form
    160.19/239.38 = 119.14/x
  3. Step 3: Cross multiply
    160.19x = 239.38 × 119.14
  4. Step 4: Simplify right side
    160.19x = 28,518.84
  5. Step 5: Solve for x
    x = 28,518.84/160.19
  6. Step 6: Final answer
    x = 178.03

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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.