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Finding the Fourth Proportional to 100.31, 149.58 and 98.48

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Solution

The fourth proportional to 100.31, 149.58 and 98.48 is: 146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.31 : 149.58 = 98.48 : x
  2. Step 2: Convert to fraction form
    100.31/149.58 = 98.48/x
  3. Step 3: Cross multiply
    100.31x = 149.58 × 98.48
  4. Step 4: Simplify right side
    100.31x = 14,731.01
  5. Step 5: Solve for x
    x = 14,731.01/100.31
  6. Step 6: Final answer
    x = 146.86

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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.