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Finding the Fourth Proportional to 115.77, 172.73 and 96.63

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Solution

The fourth proportional to 115.77, 172.73 and 96.63 is: 144.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.77 : 172.73 = 96.63 : x
  2. Step 2: Convert to fraction form
    115.77/172.73 = 96.63/x
  3. Step 3: Cross multiply
    115.77x = 172.73 × 96.63
  4. Step 4: Simplify right side
    115.77x = 16,690.90
  5. Step 5: Solve for x
    x = 16,690.90/115.77
  6. Step 6: Final answer
    x = 144.17

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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.