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Finding the Fourth Proportional to 131.65, 180.86 and 107.02

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Solution

The fourth proportional to 131.65, 180.86 and 107.02 is: 147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.65 : 180.86 = 107.02 : x
  2. Step 2: Convert to fraction form
    131.65/180.86 = 107.02/x
  3. Step 3: Cross multiply
    131.65x = 180.86 × 107.02
  4. Step 4: Simplify right side
    131.65x = 19,355.64
  5. Step 5: Solve for x
    x = 19,355.64/131.65
  6. Step 6: Final answer
    x = 147.02

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