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Finding the Fourth Proportional to 172.69, 259.00 and 50.93

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Solution

The fourth proportional to 172.69, 259.00 and 50.93 is: 76.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.69 : 259.00 = 50.93 : x
  2. Step 2: Convert to fraction form
    172.69/259.00 = 50.93/x
  3. Step 3: Cross multiply
    172.69x = 259.00 × 50.93
  4. Step 4: Simplify right side
    172.69x = 13,190.42
  5. Step 5: Solve for x
    x = 13,190.42/172.69
  6. Step 6: Final answer
    x = 76.38

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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.