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Finding the Fourth Proportional to 200.49, 300.75 and 96.34

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Solution

The fourth proportional to 200.49, 300.75 and 96.34 is: 144.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.49 : 300.75 = 96.34 : x
  2. Step 2: Convert to fraction form
    200.49/300.75 = 96.34/x
  3. Step 3: Cross multiply
    200.49x = 300.75 × 96.34
  4. Step 4: Simplify right side
    200.49x = 28,973.71
  5. Step 5: Solve for x
    x = 28,973.71/200.49
  6. Step 6: Final answer
    x = 144.51

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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.