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Finding the Fourth Proportional to 183.81, 275.81 and 102.72

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Solution

The fourth proportional to 183.81, 275.81 and 102.72 is: 154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.81 : 275.81 = 102.72 : x
  2. Step 2: Convert to fraction form
    183.81/275.81 = 102.72/x
  3. Step 3: Cross multiply
    183.81x = 275.81 × 102.72
  4. Step 4: Simplify right side
    183.81x = 28,331.20
  5. Step 5: Solve for x
    x = 28,331.20/183.81
  6. Step 6: Final answer
    x = 154.13

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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.