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Finding the Fourth Proportional to 100.92, 150.60 and 98.46

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Solution

The fourth proportional to 100.92, 150.60 and 98.46 is: 146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.92 : 150.60 = 98.46 : x
  2. Step 2: Convert to fraction form
    100.92/150.60 = 98.46/x
  3. Step 3: Cross multiply
    100.92x = 150.60 × 98.46
  4. Step 4: Simplify right side
    100.92x = 14,828.08
  5. Step 5: Solve for x
    x = 14,828.08/100.92
  6. Step 6: Final answer
    x = 146.93

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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.