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Finding the Fourth Proportional to 172.85, 259.55 and 107.98

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Solution

The fourth proportional to 172.85, 259.55 and 107.98 is: 162.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.85 : 259.55 = 107.98 : x
  2. Step 2: Convert to fraction form
    172.85/259.55 = 107.98/x
  3. Step 3: Cross multiply
    172.85x = 259.55 × 107.98
  4. Step 4: Simplify right side
    172.85x = 28,027.49
  5. Step 5: Solve for x
    x = 28,027.49/172.85
  6. Step 6: Final answer
    x = 162.15

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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.