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Finding the Fourth Proportional to 184.56, 277.20 and 172.56

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Solution

The fourth proportional to 184.56, 277.20 and 172.56 is: 259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.56 : 277.20 = 172.56 : x
  2. Step 2: Convert to fraction form
    184.56/277.20 = 172.56/x
  3. Step 3: Cross multiply
    184.56x = 277.20 × 172.56
  4. Step 4: Simplify right side
    184.56x = 47,833.63
  5. Step 5: Solve for x
    x = 47,833.63/184.56
  6. Step 6: Final answer
    x = 259.18

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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.