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Finding the Fourth Proportional to 131.47, 195.74 and 130.03

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Solution

The fourth proportional to 131.47, 195.74 and 130.03 is: 193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.47 : 195.74 = 130.03 : x
  2. Step 2: Convert to fraction form
    131.47/195.74 = 130.03/x
  3. Step 3: Cross multiply
    131.47x = 195.74 × 130.03
  4. Step 4: Simplify right side
    131.47x = 25,452.07
  5. Step 5: Solve for x
    x = 25,452.07/131.47
  6. Step 6: Final answer
    x = 193.60

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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.