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Finding the Fourth Proportional to 131.44, 180.05 and 130

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Solution

The fourth proportional to 131.44, 180.05 and 130 is: 178.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.44 : 180.05 = 130 : x
  2. Step 2: Convert to fraction form
    131.44/180.05 = 130/x
  3. Step 3: Cross multiply
    131.44x = 180.05 × 130
  4. Step 4: Simplify right side
    131.44x = 23,406.50
  5. Step 5: Solve for x
    x = 23,406.50/131.44
  6. Step 6: Final answer
    x = 178.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.