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Finding the Fourth Proportional to 98.09, 146.99 and 46.72

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Solution

The fourth proportional to 98.09, 146.99 and 46.72 is: 70.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.09 : 146.99 = 46.72 : x
  2. Step 2: Convert to fraction form
    98.09/146.99 = 46.72/x
  3. Step 3: Cross multiply
    98.09x = 146.99 × 46.72
  4. Step 4: Simplify right side
    98.09x = 6,867.12
  5. Step 5: Solve for x
    x = 6,867.12/98.09
  6. Step 6: Final answer
    x = 70.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.