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Finding the Fourth Proportional to 98.34, 134.96 and 89.10

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Solution

The fourth proportional to 98.34, 134.96 and 89.10 is: 122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.34 : 134.96 = 89.10 : x
  2. Step 2: Convert to fraction form
    98.34/134.96 = 89.10/x
  3. Step 3: Cross multiply
    98.34x = 134.96 × 89.10
  4. Step 4: Simplify right side
    98.34x = 12,024.94
  5. Step 5: Solve for x
    x = 12,024.94/98.34
  6. Step 6: Final answer
    x = 122.28

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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.