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Finding the Fourth Proportional to 199.35, 275.06 and 180.62

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Solution

The fourth proportional to 199.35, 275.06 and 180.62 is: 249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.35 : 275.06 = 180.62 : x
  2. Step 2: Convert to fraction form
    199.35/275.06 = 180.62/x
  3. Step 3: Cross multiply
    199.35x = 275.06 × 180.62
  4. Step 4: Simplify right side
    199.35x = 49,681.34
  5. Step 5: Solve for x
    x = 49,681.34/199.35
  6. Step 6: Final answer
    x = 249.22

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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.