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Finding the Fourth Proportional to 162.14, 224.07 and 144.14

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Solution

The fourth proportional to 162.14, 224.07 and 144.14 is: 199.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.14 : 224.07 = 144.14 : x
  2. Step 2: Convert to fraction form
    162.14/224.07 = 144.14/x
  3. Step 3: Cross multiply
    162.14x = 224.07 × 144.14
  4. Step 4: Simplify right side
    162.14x = 32,297.45
  5. Step 5: Solve for x
    x = 32,297.45/162.14
  6. Step 6: Final answer
    x = 199.19

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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.