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Finding the Fourth Proportional to 309.85, 465.08 and 172.99

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Solution

The fourth proportional to 309.85, 465.08 and 172.99 is: 259.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.85 : 465.08 = 172.99 : x
  2. Step 2: Convert to fraction form
    309.85/465.08 = 172.99/x
  3. Step 3: Cross multiply
    309.85x = 465.08 × 172.99
  4. Step 4: Simplify right side
    309.85x = 80,453.91
  5. Step 5: Solve for x
    x = 80,453.91/309.85
  6. Step 6: Final answer
    x = 259.66

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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.