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Finding the Fourth Proportional to 309.85, 464.09 and 172.71

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Solution

The fourth proportional to 309.85, 464.09 and 172.71 is: 258.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.85 : 464.09 = 172.71 : x
  2. Step 2: Convert to fraction form
    309.85/464.09 = 172.71/x
  3. Step 3: Cross multiply
    309.85x = 464.09 × 172.71
  4. Step 4: Simplify right side
    309.85x = 80,152.12
  5. Step 5: Solve for x
    x = 80,152.12/309.85
  6. Step 6: Final answer
    x = 258.68

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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.