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Finding the Fourth Proportional to 194.02, 266.10 and 172.15

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Solution

The fourth proportional to 194.02, 266.10 and 172.15 is: 236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.02 : 266.10 = 172.15 : x
  2. Step 2: Convert to fraction form
    194.02/266.10 = 172.15/x
  3. Step 3: Cross multiply
    194.02x = 266.10 × 172.15
  4. Step 4: Simplify right side
    194.02x = 45,809.10
  5. Step 5: Solve for x
    x = 45,809.10/194.02
  6. Step 6: Final answer
    x = 236.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.