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Finding the Fourth Proportional to 98.13, 147.96 and 96.99

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Solution

The fourth proportional to 98.13, 147.96 and 96.99 is: 146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.13 : 147.96 = 96.99 : x
  2. Step 2: Convert to fraction form
    98.13/147.96 = 96.99/x
  3. Step 3: Cross multiply
    98.13x = 147.96 × 96.99
  4. Step 4: Simplify right side
    98.13x = 14,350.64
  5. Step 5: Solve for x
    x = 14,350.64/98.13
  6. Step 6: Final answer
    x = 146.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.