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Finding the Fourth Proportional to 100.34, 149.37 and 99.73

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Solution

The fourth proportional to 100.34, 149.37 and 99.73 is: 148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.34 : 149.37 = 99.73 : x
  2. Step 2: Convert to fraction form
    100.34/149.37 = 99.73/x
  3. Step 3: Cross multiply
    100.34x = 149.37 × 99.73
  4. Step 4: Simplify right side
    100.34x = 14,896.76
  5. Step 5: Solve for x
    x = 14,896.76/100.34
  6. Step 6: Final answer
    x = 148.46

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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.