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Finding the Fourth Proportional to 131.16, 180.72 and 109.20

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Solution

The fourth proportional to 131.16, 180.72 and 109.20 is: 150.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.16 : 180.72 = 109.20 : x
  2. Step 2: Convert to fraction form
    131.16/180.72 = 109.20/x
  3. Step 3: Cross multiply
    131.16x = 180.72 × 109.20
  4. Step 4: Simplify right side
    131.16x = 19,734.62
  5. Step 5: Solve for x
    x = 19,734.62/131.16
  6. Step 6: Final answer
    x = 150.46

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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.