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Finding the Fourth Proportional to 131.25, 181.15 and 76.00

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Solution

The fourth proportional to 131.25, 181.15 and 76.00 is: 104.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.25 : 181.15 = 76.00 : x
  2. Step 2: Convert to fraction form
    131.25/181.15 = 76.00/x
  3. Step 3: Cross multiply
    131.25x = 181.15 × 76.00
  4. Step 4: Simplify right side
    131.25x = 13,766.49
  5. Step 5: Solve for x
    x = 13,766.49/131.25
  6. Step 6: Final answer
    x = 104.89

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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.