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Finding the Fourth Proportional to 200.22, 275.67 and 176.55

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Solution

The fourth proportional to 200.22, 275.67 and 176.55 is: 243.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.22 : 275.67 = 176.55 : x
  2. Step 2: Convert to fraction form
    200.22/275.67 = 176.55/x
  3. Step 3: Cross multiply
    200.22x = 275.67 × 176.55
  4. Step 4: Simplify right side
    200.22x = 48,669.54
  5. Step 5: Solve for x
    x = 48,669.54/200.22
  6. Step 6: Final answer
    x = 243.08

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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.