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Finding the Fourth Proportional to 200.02, 275.73 and 141.70

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Solution

The fourth proportional to 200.02, 275.73 and 141.70 is: 195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.02 : 275.73 = 141.70 : x
  2. Step 2: Convert to fraction form
    200.02/275.73 = 141.70/x
  3. Step 3: Cross multiply
    200.02x = 275.73 × 141.70
  4. Step 4: Simplify right side
    200.02x = 39,070.94
  5. Step 5: Solve for x
    x = 39,070.94/200.02
  6. Step 6: Final answer
    x = 195.34

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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.