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Finding the Fourth Proportional to 173.99, 259.41 and 172.19

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Solution

The fourth proportional to 173.99, 259.41 and 172.19 is: 256.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.99 : 259.41 = 172.19 : x
  2. Step 2: Convert to fraction form
    173.99/259.41 = 172.19/x
  3. Step 3: Cross multiply
    173.99x = 259.41 × 172.19
  4. Step 4: Simplify right side
    173.99x = 44,667.81
  5. Step 5: Solve for x
    x = 44,667.81/173.99
  6. Step 6: Final answer
    x = 256.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.