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Finding the Fourth Proportional to 153.36, 211.23 and 111.78

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Solution

The fourth proportional to 153.36, 211.23 and 111.78 is: 153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.36 : 211.23 = 111.78 : x
  2. Step 2: Convert to fraction form
    153.36/211.23 = 111.78/x
  3. Step 3: Cross multiply
    153.36x = 211.23 × 111.78
  4. Step 4: Simplify right side
    153.36x = 23,611.29
  5. Step 5: Solve for x
    x = 23,611.29/153.36
  6. Step 6: Final answer
    x = 153.96

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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.