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Finding the Fourth Proportional to 172.97, 259.37 and 51.20

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Solution

The fourth proportional to 172.97, 259.37 and 51.20 is: 76.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.97 : 259.37 = 51.20 : x
  2. Step 2: Convert to fraction form
    172.97/259.37 = 51.20/x
  3. Step 3: Cross multiply
    172.97x = 259.37 × 51.20
  4. Step 4: Simplify right side
    172.97x = 13,279.74
  5. Step 5: Solve for x
    x = 13,279.74/172.97
  6. Step 6: Final answer
    x = 76.77

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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.