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Finding the Fourth Proportional to 160.58, 221.54 and 119.14

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Solution

The fourth proportional to 160.58, 221.54 and 119.14 is: 164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.58 : 221.54 = 119.14 : x
  2. Step 2: Convert to fraction form
    160.58/221.54 = 119.14/x
  3. Step 3: Cross multiply
    160.58x = 221.54 × 119.14
  4. Step 4: Simplify right side
    160.58x = 26,393.13
  5. Step 5: Solve for x
    x = 26,393.13/160.58
  6. Step 6: Final answer
    x = 164.36

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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.