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Finding the Fourth Proportional to 115.37, 172.22 and 98.13

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Solution

The fourth proportional to 115.37, 172.22 and 98.13 is: 146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.37 : 172.22 = 98.13 : x
  2. Step 2: Convert to fraction form
    115.37/172.22 = 98.13/x
  3. Step 3: Cross multiply
    115.37x = 172.22 × 98.13
  4. Step 4: Simplify right side
    115.37x = 16,899.46
  5. Step 5: Solve for x
    x = 16,899.46/115.37
  6. Step 6: Final answer
    x = 146.49

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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.