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Finding the Fourth Proportional to 199.61, 275.30 and 133.19

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Solution

The fourth proportional to 199.61, 275.30 and 133.19 is: 183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.61 : 275.30 = 133.19 : x
  2. Step 2: Convert to fraction form
    199.61/275.30 = 133.19/x
  3. Step 3: Cross multiply
    199.61x = 275.30 × 133.19
  4. Step 4: Simplify right side
    199.61x = 36,665.83
  5. Step 5: Solve for x
    x = 36,665.83/199.61
  6. Step 6: Final answer
    x = 183.69

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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.