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Finding the Fourth Proportional to 183.61, 253.36 and 100.71

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Solution

The fourth proportional to 183.61, 253.36 and 100.71 is: 138.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.61 : 253.36 = 100.71 : x
  2. Step 2: Convert to fraction form
    183.61/253.36 = 100.71/x
  3. Step 3: Cross multiply
    183.61x = 253.36 × 100.71
  4. Step 4: Simplify right side
    183.61x = 25,516.77
  5. Step 5: Solve for x
    x = 25,516.77/183.61
  6. Step 6: Final answer
    x = 138.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.