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Finding the Fourth Proportional to 130.52, 194.88 and 106.22

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Solution

The fourth proportional to 130.52, 194.88 and 106.22 is: 158.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.52 : 194.88 = 106.22 : x
  2. Step 2: Convert to fraction form
    130.52/194.88 = 106.22/x
  3. Step 3: Cross multiply
    130.52x = 194.88 × 106.22
  4. Step 4: Simplify right side
    130.52x = 20,699.18
  5. Step 5: Solve for x
    x = 20,699.18/130.52
  6. Step 6: Final answer
    x = 158.60

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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.