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Finding the Fourth Proportional to 98.68, 146.78 and 98.35

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Solution

The fourth proportional to 98.68, 146.78 and 98.35 is: 146.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.68 : 146.78 = 98.35 : x
  2. Step 2: Convert to fraction form
    98.68/146.78 = 98.35/x
  3. Step 3: Cross multiply
    98.68x = 146.78 × 98.35
  4. Step 4: Simplify right side
    98.68x = 14,435.81
  5. Step 5: Solve for x
    x = 14,435.81/98.68
  6. Step 6: Final answer
    x = 146.29

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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.