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Finding the Fourth Proportional to 200.02, 275.80 and 163.06

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Solution

The fourth proportional to 200.02, 275.80 and 163.06 is: 224.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.02 : 275.80 = 163.06 : x
  2. Step 2: Convert to fraction form
    200.02/275.80 = 163.06/x
  3. Step 3: Cross multiply
    200.02x = 275.80 × 163.06
  4. Step 4: Simplify right side
    200.02x = 44,971.13
  5. Step 5: Solve for x
    x = 44,971.13/200.02
  6. Step 6: Final answer
    x = 224.84

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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.