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Finding the Fourth Proportional to 130.40, 196.62 and 129.04

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Solution

The fourth proportional to 130.40, 196.62 and 129.04 is: 194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.40 : 196.62 = 129.04 : x
  2. Step 2: Convert to fraction form
    130.40/196.62 = 129.04/x
  3. Step 3: Cross multiply
    130.40x = 196.62 × 129.04
  4. Step 4: Simplify right side
    130.40x = 25,371.84
  5. Step 5: Solve for x
    x = 25,371.84/130.40
  6. Step 6: Final answer
    x = 194.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.