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Finding the Fourth Proportional to 130.14, 193.67 and 125.28

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Solution

The fourth proportional to 130.14, 193.67 and 125.28 is: 186.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.14 : 193.67 = 125.28 : x
  2. Step 2: Convert to fraction form
    130.14/193.67 = 125.28/x
  3. Step 3: Cross multiply
    130.14x = 193.67 × 125.28
  4. Step 4: Simplify right side
    130.14x = 24,262.01
  5. Step 5: Solve for x
    x = 24,262.01/130.14
  6. Step 6: Final answer
    x = 186.44

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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.