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Finding the Fourth Proportional to 185.85, 277.41 and 172.50

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Solution

The fourth proportional to 185.85, 277.41 and 172.50 is: 257.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.85 : 277.41 = 172.50 : x
  2. Step 2: Convert to fraction form
    185.85/277.41 = 172.50/x
  3. Step 3: Cross multiply
    185.85x = 277.41 × 172.50
  4. Step 4: Simplify right side
    185.85x = 47,853.23
  5. Step 5: Solve for x
    x = 47,853.23/185.85
  6. Step 6: Final answer
    x = 257.48

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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.