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Finding the Fourth Proportional to 130.64, 194.80 and 129.05

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Solution

The fourth proportional to 130.64, 194.80 and 129.05 is: 192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.64 : 194.80 = 129.05 : x
  2. Step 2: Convert to fraction form
    130.64/194.80 = 129.05/x
  3. Step 3: Cross multiply
    130.64x = 194.80 × 129.05
  4. Step 4: Simplify right side
    130.64x = 25,137.32
  5. Step 5: Solve for x
    x = 25,137.32/130.64
  6. Step 6: Final answer
    x = 192.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.