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Finding the Fourth Proportional to 172.16, 237.57 and 105.80

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Solution

The fourth proportional to 172.16, 237.57 and 105.80 is: 145.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.16 : 237.57 = 105.80 : x
  2. Step 2: Convert to fraction form
    172.16/237.57 = 105.80/x
  3. Step 3: Cross multiply
    172.16x = 237.57 × 105.80
  4. Step 4: Simplify right side
    172.16x = 25,133.72
  5. Step 5: Solve for x
    x = 25,133.72/172.16
  6. Step 6: Final answer
    x = 145.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.