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Finding the Fourth Proportional to 153.49, 231.34 and 144.67

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Solution

The fourth proportional to 153.49, 231.34 and 144.67 is: 218.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.49 : 231.34 = 144.67 : x
  2. Step 2: Convert to fraction form
    153.49/231.34 = 144.67/x
  3. Step 3: Cross multiply
    153.49x = 231.34 × 144.67
  4. Step 4: Simplify right side
    153.49x = 33,467.96
  5. Step 5: Solve for x
    x = 33,467.96/153.49
  6. Step 6: Final answer
    x = 218.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.