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Finding the Fourth Proportional to 130.47, 194.77 and 121.36

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Solution

The fourth proportional to 130.47, 194.77 and 121.36 is: 181.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.47 : 194.77 = 121.36 : x
  2. Step 2: Convert to fraction form
    130.47/194.77 = 121.36/x
  3. Step 3: Cross multiply
    130.47x = 194.77 × 121.36
  4. Step 4: Simplify right side
    130.47x = 23,635.86
  5. Step 5: Solve for x
    x = 23,635.86/130.47
  6. Step 6: Final answer
    x = 181.16

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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.