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Finding the Fourth Proportional to 98.84, 135.63 and 89.60

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Solution

The fourth proportional to 98.84, 135.63 and 89.60 is: 122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.84 : 135.63 = 89.60 : x
  2. Step 2: Convert to fraction form
    98.84/135.63 = 89.60/x
  3. Step 3: Cross multiply
    98.84x = 135.63 × 89.60
  4. Step 4: Simplify right side
    98.84x = 12,152.45
  5. Step 5: Solve for x
    x = 12,152.45/98.84
  6. Step 6: Final answer
    x = 122.95

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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.