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Finding the Fourth Proportional to 98.04, 147.92 and 97.23

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Solution

The fourth proportional to 98.04, 147.92 and 97.23 is: 146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.04 : 147.92 = 97.23 : x
  2. Step 2: Convert to fraction form
    98.04/147.92 = 97.23/x
  3. Step 3: Cross multiply
    98.04x = 147.92 × 97.23
  4. Step 4: Simplify right side
    98.04x = 14,382.50
  5. Step 5: Solve for x
    x = 14,382.50/98.04
  6. Step 6: Final answer
    x = 146.70

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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.