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Finding the Fourth Proportional to 119.51, 163.98 and 117.46

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Solution

The fourth proportional to 119.51, 163.98 and 117.46 is: 161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.51 : 163.98 = 117.46 : x
  2. Step 2: Convert to fraction form
    119.51/163.98 = 117.46/x
  3. Step 3: Cross multiply
    119.51x = 163.98 × 117.46
  4. Step 4: Simplify right side
    119.51x = 19,261.09
  5. Step 5: Solve for x
    x = 19,261.09/119.51
  6. Step 6: Final answer
    x = 161.17

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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.