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Finding the Fourth Proportional to 98.22, 134.76 and 93.63

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Solution

The fourth proportional to 98.22, 134.76 and 93.63 is: 128.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.22 : 134.76 = 93.63 : x
  2. Step 2: Convert to fraction form
    98.22/134.76 = 93.63/x
  3. Step 3: Cross multiply
    98.22x = 134.76 × 93.63
  4. Step 4: Simplify right side
    98.22x = 12,617.58
  5. Step 5: Solve for x
    x = 12,617.58/98.22
  6. Step 6: Final answer
    x = 128.46

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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.