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Finding the Fourth Proportional to 102.30, 154.19 and 98.18

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Solution

The fourth proportional to 102.30, 154.19 and 98.18 is: 147.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.30 : 154.19 = 98.18 : x
  2. Step 2: Convert to fraction form
    102.30/154.19 = 98.18/x
  3. Step 3: Cross multiply
    102.30x = 154.19 × 98.18
  4. Step 4: Simplify right side
    102.30x = 15,138.37
  5. Step 5: Solve for x
    x = 15,138.37/102.30
  6. Step 6: Final answer
    x = 147.98

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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.