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Finding the Fourth Proportional to 130.64, 197.10 and 126.09

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Solution

The fourth proportional to 130.64, 197.10 and 126.09 is: 190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.64 : 197.10 = 126.09 : x
  2. Step 2: Convert to fraction form
    130.64/197.10 = 126.09/x
  3. Step 3: Cross multiply
    130.64x = 197.10 × 126.09
  4. Step 4: Simplify right side
    130.64x = 24,852.34
  5. Step 5: Solve for x
    x = 24,852.34/130.64
  6. Step 6: Final answer
    x = 190.24

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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.