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Finding the Fourth Proportional to 184.89, 254.69 and 145.41

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Solution

The fourth proportional to 184.89, 254.69 and 145.41 is: 200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.89 : 254.69 = 145.41 : x
  2. Step 2: Convert to fraction form
    184.89/254.69 = 145.41/x
  3. Step 3: Cross multiply
    184.89x = 254.69 × 145.41
  4. Step 4: Simplify right side
    184.89x = 37,033.34
  5. Step 5: Solve for x
    x = 37,033.34/184.89
  6. Step 6: Final answer
    x = 200.30

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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.