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Finding the Fourth Proportional to 172.50, 238.05 and 107.10

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Solution

The fourth proportional to 172.50, 238.05 and 107.10 is: 147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.50 : 238.05 = 107.10 : x
  2. Step 2: Convert to fraction form
    172.50/238.05 = 107.10/x
  3. Step 3: Cross multiply
    172.50x = 238.05 × 107.10
  4. Step 4: Simplify right side
    172.50x = 25,495.16
  5. Step 5: Solve for x
    x = 25,495.16/172.50
  6. Step 6: Final answer
    x = 147.80

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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.