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Finding the Fourth Proportional to 200.88, 301.55 and 189.49

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Solution

The fourth proportional to 200.88, 301.55 and 189.49 is: 284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.88 : 301.55 = 189.49 : x
  2. Step 2: Convert to fraction form
    200.88/301.55 = 189.49/x
  3. Step 3: Cross multiply
    200.88x = 301.55 × 189.49
  4. Step 4: Simplify right side
    200.88x = 57,140.71
  5. Step 5: Solve for x
    x = 57,140.71/200.88
  6. Step 6: Final answer
    x = 284.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.