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Finding the Fourth Proportional to 200.15, 275.91 and 140.95

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Solution

The fourth proportional to 200.15, 275.91 and 140.95 is: 194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.15 : 275.91 = 140.95 : x
  2. Step 2: Convert to fraction form
    200.15/275.91 = 140.95/x
  3. Step 3: Cross multiply
    200.15x = 275.91 × 140.95
  4. Step 4: Simplify right side
    200.15x = 38,889.51
  5. Step 5: Solve for x
    x = 38,889.51/200.15
  6. Step 6: Final answer
    x = 194.30

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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.