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Finding the Fourth Proportional to 200.40, 275.94 and 172.72

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Solution

The fourth proportional to 200.40, 275.94 and 172.72 is: 237.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.40 : 275.94 = 172.72 : x
  2. Step 2: Convert to fraction form
    200.40/275.94 = 172.72/x
  3. Step 3: Cross multiply
    200.40x = 275.94 × 172.72
  4. Step 4: Simplify right side
    200.40x = 47,660.36
  5. Step 5: Solve for x
    x = 47,660.36/200.40
  6. Step 6: Final answer
    x = 237.83

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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.