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Finding the Fourth Proportional to 131.25, 180.80 and 98.46

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Solution

The fourth proportional to 131.25, 180.80 and 98.46 is: 135.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.25 : 180.80 = 98.46 : x
  2. Step 2: Convert to fraction form
    131.25/180.80 = 98.46/x
  3. Step 3: Cross multiply
    131.25x = 180.80 × 98.46
  4. Step 4: Simplify right side
    131.25x = 17,801.08
  5. Step 5: Solve for x
    x = 17,801.08/131.25
  6. Step 6: Final answer
    x = 135.63

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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.