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Finding the Fourth Proportional to 130.93, 196.41 and 49.81

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Solution

The fourth proportional to 130.93, 196.41 and 49.81 is: 74.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.93 : 196.41 = 49.81 : x
  2. Step 2: Convert to fraction form
    130.93/196.41 = 49.81/x
  3. Step 3: Cross multiply
    130.93x = 196.41 × 49.81
  4. Step 4: Simplify right side
    130.93x = 9,783.18
  5. Step 5: Solve for x
    x = 9,783.18/130.93
  6. Step 6: Final answer
    x = 74.72

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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.