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Finding the Fourth Proportional to 133.51, 183.71 and 130.12

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Solution

The fourth proportional to 133.51, 183.71 and 130.12 is: 179.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.51 : 183.71 = 130.12 : x
  2. Step 2: Convert to fraction form
    133.51/183.71 = 130.12/x
  3. Step 3: Cross multiply
    133.51x = 183.71 × 130.12
  4. Step 4: Simplify right side
    133.51x = 23,903.24
  5. Step 5: Solve for x
    x = 23,903.24/133.51
  6. Step 6: Final answer
    x = 179.04

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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.