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Finding the Fourth Proportional to 119.48, 177.81 and 114.36

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Solution

The fourth proportional to 119.48, 177.81 and 114.36 is: 170.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.48 : 177.81 = 114.36 : x
  2. Step 2: Convert to fraction form
    119.48/177.81 = 114.36/x
  3. Step 3: Cross multiply
    119.48x = 177.81 × 114.36
  4. Step 4: Simplify right side
    119.48x = 20,334.35
  5. Step 5: Solve for x
    x = 20,334.35/119.48
  6. Step 6: Final answer
    x = 170.19

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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.