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Finding the Fourth Proportional to 153.72, 211.42 and 144.84

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Solution

The fourth proportional to 153.72, 211.42 and 144.84 is: 199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.72 : 211.42 = 144.84 : x
  2. Step 2: Convert to fraction form
    153.72/211.42 = 144.84/x
  3. Step 3: Cross multiply
    153.72x = 211.42 × 144.84
  4. Step 4: Simplify right side
    153.72x = 30,622.07
  5. Step 5: Solve for x
    x = 30,622.07/153.72
  6. Step 6: Final answer
    x = 199.21

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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.