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Finding the Fourth Proportional to 130.61, 194.66 and 130.41

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Solution

The fourth proportional to 130.61, 194.66 and 130.41 is: 194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.61 : 194.66 = 130.41 : x
  2. Step 2: Convert to fraction form
    130.61/194.66 = 130.41/x
  3. Step 3: Cross multiply
    130.61x = 194.66 × 130.41
  4. Step 4: Simplify right side
    130.61x = 25,385.61
  5. Step 5: Solve for x
    x = 25,385.61/130.61
  6. Step 6: Final answer
    x = 194.36

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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.