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Finding the Fourth Proportional to 102.87, 153.36 and 98.46

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Solution

The fourth proportional to 102.87, 153.36 and 98.46 is: 146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.87 : 153.36 = 98.46 : x
  2. Step 2: Convert to fraction form
    102.87/153.36 = 98.46/x
  3. Step 3: Cross multiply
    102.87x = 153.36 × 98.46
  4. Step 4: Simplify right side
    102.87x = 15,099.83
  5. Step 5: Solve for x
    x = 15,099.83/102.87
  6. Step 6: Final answer
    x = 146.79

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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.