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Finding the Fourth Proportional to 184.97, 275.89 and 172.21

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Solution

The fourth proportional to 184.97, 275.89 and 172.21 is: 256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.97 : 275.89 = 172.21 : x
  2. Step 2: Convert to fraction form
    184.97/275.89 = 172.21/x
  3. Step 3: Cross multiply
    184.97x = 275.89 × 172.21
  4. Step 4: Simplify right side
    184.97x = 47,511.02
  5. Step 5: Solve for x
    x = 47,511.02/184.97
  6. Step 6: Final answer
    x = 256.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.