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Finding the Fourth Proportional to 120.58, 164.97 and 120.07

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Solution

The fourth proportional to 120.58, 164.97 and 120.07 is: 164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.58 : 164.97 = 120.07 : x
  2. Step 2: Convert to fraction form
    120.58/164.97 = 120.07/x
  3. Step 3: Cross multiply
    120.58x = 164.97 × 120.07
  4. Step 4: Simplify right side
    120.58x = 19,807.95
  5. Step 5: Solve for x
    x = 19,807.95/120.58
  6. Step 6: Final answer
    x = 164.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.