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Finding the Fourth Proportional to 183.71, 253.61 and 142.16

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Solution

The fourth proportional to 183.71, 253.61 and 142.16 is: 196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.71 : 253.61 = 142.16 : x
  2. Step 2: Convert to fraction form
    183.71/253.61 = 142.16/x
  3. Step 3: Cross multiply
    183.71x = 253.61 × 142.16
  4. Step 4: Simplify right side
    183.71x = 36,052.49
  5. Step 5: Solve for x
    x = 36,052.49/183.71
  6. Step 6: Final answer
    x = 196.25

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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.