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Finding the Fourth Proportional to 130.63, 180.21 and 83.92

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Solution

The fourth proportional to 130.63, 180.21 and 83.92 is: 115.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.63 : 180.21 = 83.92 : x
  2. Step 2: Convert to fraction form
    130.63/180.21 = 83.92/x
  3. Step 3: Cross multiply
    130.63x = 180.21 × 83.92
  4. Step 4: Simplify right side
    130.63x = 15,122.77
  5. Step 5: Solve for x
    x = 15,122.77/130.63
  6. Step 6: Final answer
    x = 115.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.