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Finding the Fourth Proportional to 200.61, 302.06 and 149.61

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Solution

The fourth proportional to 200.61, 302.06 and 149.61 is: 225.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.61 : 302.06 = 149.61 : x
  2. Step 2: Convert to fraction form
    200.61/302.06 = 149.61/x
  3. Step 3: Cross multiply
    200.61x = 302.06 × 149.61
  4. Step 4: Simplify right side
    200.61x = 45,191.20
  5. Step 5: Solve for x
    x = 45,191.20/200.61
  6. Step 6: Final answer
    x = 225.27

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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.