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Finding the Fourth Proportional to 200.50, 301.93 and 149.51

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Solution

The fourth proportional to 200.50, 301.93 and 149.51 is: 225.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.50 : 301.93 = 149.51 : x
  2. Step 2: Convert to fraction form
    200.50/301.93 = 149.51/x
  3. Step 3: Cross multiply
    200.50x = 301.93 × 149.51
  4. Step 4: Simplify right side
    200.50x = 45,141.94
  5. Step 5: Solve for x
    x = 45,141.94/200.50
  6. Step 6: Final answer
    x = 225.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.