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Finding the Fourth Proportional to 173.50, 259.94 and 91.14

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Solution

The fourth proportional to 173.50, 259.94 and 91.14 is: 136.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.50 : 259.94 = 91.14 : x
  2. Step 2: Convert to fraction form
    173.50/259.94 = 91.14/x
  3. Step 3: Cross multiply
    173.50x = 259.94 × 91.14
  4. Step 4: Simplify right side
    173.50x = 23,690.93
  5. Step 5: Solve for x
    x = 23,690.93/173.50
  6. Step 6: Final answer
    x = 136.55

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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.