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Finding the Fourth Proportional to 134.20, 199.93 and 129.31

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Solution

The fourth proportional to 134.20, 199.93 and 129.31 is: 192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.20 : 199.93 = 129.31 : x
  2. Step 2: Convert to fraction form
    134.20/199.93 = 129.31/x
  3. Step 3: Cross multiply
    134.20x = 199.93 × 129.31
  4. Step 4: Simplify right side
    134.20x = 25,852.95
  5. Step 5: Solve for x
    x = 25,852.95/134.20
  6. Step 6: Final answer
    x = 192.64

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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.