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Finding the Fourth Proportional to 309.88, 464.81 and 172.99

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Solution

The fourth proportional to 309.88, 464.81 and 172.99 is: 259.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.88 : 464.81 = 172.99 : x
  2. Step 2: Convert to fraction form
    309.88/464.81 = 172.99/x
  3. Step 3: Cross multiply
    309.88x = 464.81 × 172.99
  4. Step 4: Simplify right side
    309.88x = 80,407.48
  5. Step 5: Solve for x
    x = 80,407.48/309.88
  6. Step 6: Final answer
    x = 259.48

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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.