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Finding the Fourth Proportional to 130.40, 195.68 and 49.25

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Solution

The fourth proportional to 130.40, 195.68 and 49.25 is: 73.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.40 : 195.68 = 49.25 : x
  2. Step 2: Convert to fraction form
    130.40/195.68 = 49.25/x
  3. Step 3: Cross multiply
    130.40x = 195.68 × 49.25
  4. Step 4: Simplify right side
    130.40x = 9,636.02
  5. Step 5: Solve for x
    x = 9,636.02/130.40
  6. Step 6: Final answer
    x = 73.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.