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Finding the Fourth Proportional to 200.03, 275.31 and 172.08

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Solution

The fourth proportional to 200.03, 275.31 and 172.08 is: 236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.03 : 275.31 = 172.08 : x
  2. Step 2: Convert to fraction form
    200.03/275.31 = 172.08/x
  3. Step 3: Cross multiply
    200.03x = 275.31 × 172.08
  4. Step 4: Simplify right side
    200.03x = 47,375.34
  5. Step 5: Solve for x
    x = 47,375.34/200.03
  6. Step 6: Final answer
    x = 236.85

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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.