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Finding the Fourth Proportional to 153.54, 211.77 and 95.25

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Solution

The fourth proportional to 153.54, 211.77 and 95.25 is: 131.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.54 : 211.77 = 95.25 : x
  2. Step 2: Convert to fraction form
    153.54/211.77 = 95.25/x
  3. Step 3: Cross multiply
    153.54x = 211.77 × 95.25
  4. Step 4: Simplify right side
    153.54x = 20,171.09
  5. Step 5: Solve for x
    x = 20,171.09/153.54
  6. Step 6: Final answer
    x = 131.37

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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.