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Finding the Fourth Proportional to 153.18, 211.54 and 142.26

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Solution

The fourth proportional to 153.18, 211.54 and 142.26 is: 196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.18 : 211.54 = 142.26 : x
  2. Step 2: Convert to fraction form
    153.18/211.54 = 142.26/x
  3. Step 3: Cross multiply
    153.18x = 211.54 × 142.26
  4. Step 4: Simplify right side
    153.18x = 30,093.68
  5. Step 5: Solve for x
    x = 30,093.68/153.18
  6. Step 6: Final answer
    x = 196.46

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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.