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Finding the Fourth Proportional to 160.05, 239.25 and 119.01

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Solution

The fourth proportional to 160.05, 239.25 and 119.01 is: 177.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.05 : 239.25 = 119.01 : x
  2. Step 2: Convert to fraction form
    160.05/239.25 = 119.01/x
  3. Step 3: Cross multiply
    160.05x = 239.25 × 119.01
  4. Step 4: Simplify right side
    160.05x = 28,473.14
  5. Step 5: Solve for x
    x = 28,473.14/160.05
  6. Step 6: Final answer
    x = 177.90

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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.