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Finding the Fourth Proportional to 98.75, 135.47 and 96.20

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Solution

The fourth proportional to 98.75, 135.47 and 96.20 is: 131.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.75 : 135.47 = 96.20 : x
  2. Step 2: Convert to fraction form
    98.75/135.47 = 96.20/x
  3. Step 3: Cross multiply
    98.75x = 135.47 × 96.20
  4. Step 4: Simplify right side
    98.75x = 13,031.06
  5. Step 5: Solve for x
    x = 13,031.06/98.75
  6. Step 6: Final answer
    x = 131.97

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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.