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Finding the Fourth Proportional to 98.02, 146.27 and 89.40

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Solution

The fourth proportional to 98.02, 146.27 and 89.40 is: 133.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.02 : 146.27 = 89.40 : x
  2. Step 2: Convert to fraction form
    98.02/146.27 = 89.40/x
  3. Step 3: Cross multiply
    98.02x = 146.27 × 89.40
  4. Step 4: Simplify right side
    98.02x = 13,076.54
  5. Step 5: Solve for x
    x = 13,076.54/98.02
  6. Step 6: Final answer
    x = 133.41

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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.