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Finding the Fourth Proportional to 153.69, 211.85 and 109.44

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Solution

The fourth proportional to 153.69, 211.85 and 109.44 is: 150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.69 : 211.85 = 109.44 : x
  2. Step 2: Convert to fraction form
    153.69/211.85 = 109.44/x
  3. Step 3: Cross multiply
    153.69x = 211.85 × 109.44
  4. Step 4: Simplify right side
    153.69x = 23,184.32
  5. Step 5: Solve for x
    x = 23,184.32/153.69
  6. Step 6: Final answer
    x = 150.85

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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.