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Finding the Fourth Proportional to 130.46, 180.09 and 81.38

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Solution

The fourth proportional to 130.46, 180.09 and 81.38 is: 112.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.46 : 180.09 = 81.38 : x
  2. Step 2: Convert to fraction form
    130.46/180.09 = 81.38/x
  3. Step 3: Cross multiply
    130.46x = 180.09 × 81.38
  4. Step 4: Simplify right side
    130.46x = 14,656.17
  5. Step 5: Solve for x
    x = 14,656.17/130.46
  6. Step 6: Final answer
    x = 112.35

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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.