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Finding the Fourth Proportional to 98.40, 146.94 and 94.32

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Solution

The fourth proportional to 98.40, 146.94 and 94.32 is: 140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.40 : 146.94 = 94.32 : x
  2. Step 2: Convert to fraction form
    98.40/146.94 = 94.32/x
  3. Step 3: Cross multiply
    98.40x = 146.94 × 94.32
  4. Step 4: Simplify right side
    98.40x = 13,859.38
  5. Step 5: Solve for x
    x = 13,859.38/98.40
  6. Step 6: Final answer
    x = 140.85

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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.