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Finding the Fourth Proportional to 98.50, 146.99 and 89.39

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Solution

The fourth proportional to 98.50, 146.99 and 89.39 is: 133.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.50 : 146.99 = 89.39 : x
  2. Step 2: Convert to fraction form
    98.50/146.99 = 89.39/x
  3. Step 3: Cross multiply
    98.50x = 146.99 × 89.39
  4. Step 4: Simplify right side
    98.50x = 13,139.44
  5. Step 5: Solve for x
    x = 13,139.44/98.50
  6. Step 6: Final answer
    x = 133.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.