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Finding the Fourth Proportional to 134.16, 183.54 and 131.64

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Solution

The fourth proportional to 134.16, 183.54 and 131.64 is: 180.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.16 : 183.54 = 131.64 : x
  2. Step 2: Convert to fraction form
    134.16/183.54 = 131.64/x
  3. Step 3: Cross multiply
    134.16x = 183.54 × 131.64
  4. Step 4: Simplify right side
    134.16x = 24,161.21
  5. Step 5: Solve for x
    x = 24,161.21/134.16
  6. Step 6: Final answer
    x = 180.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.