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Finding the Fourth Proportional to 95.67, 143.14 and 65.09

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Solution

The fourth proportional to 95.67, 143.14 and 65.09 is: 97.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.67 : 143.14 = 65.09 : x
  2. Step 2: Convert to fraction form
    95.67/143.14 = 65.09/x
  3. Step 3: Cross multiply
    95.67x = 143.14 × 65.09
  4. Step 4: Simplify right side
    95.67x = 9,316.98
  5. Step 5: Solve for x
    x = 9,316.98/95.67
  6. Step 6: Final answer
    x = 97.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.