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Finding the Fourth Proportional to 309.99, 465.14 and 173.15

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Solution

The fourth proportional to 309.99, 465.14 and 173.15 is: 259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.99 : 465.14 = 173.15 : x
  2. Step 2: Convert to fraction form
    309.99/465.14 = 173.15/x
  3. Step 3: Cross multiply
    309.99x = 465.14 × 173.15
  4. Step 4: Simplify right side
    309.99x = 80,535.80
  5. Step 5: Solve for x
    x = 80,535.80/309.99
  6. Step 6: Final answer
    x = 259.80

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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.