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Finding the Fourth Proportional to 119.43, 162.63 and 119.16

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Solution

The fourth proportional to 119.43, 162.63 and 119.16 is: 162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.43 : 162.63 = 119.16 : x
  2. Step 2: Convert to fraction form
    119.43/162.63 = 119.16/x
  3. Step 3: Cross multiply
    119.43x = 162.63 × 119.16
  4. Step 4: Simplify right side
    119.43x = 19,378.99
  5. Step 5: Solve for x
    x = 19,378.99/119.43
  6. Step 6: Final answer
    x = 162.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.