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Finding the Fourth Proportional to 99.46, 149.74 and 72.60

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Solution

The fourth proportional to 99.46, 149.74 and 72.60 is: 109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.46 : 149.74 = 72.60 : x
  2. Step 2: Convert to fraction form
    99.46/149.74 = 72.60/x
  3. Step 3: Cross multiply
    99.46x = 149.74 × 72.60
  4. Step 4: Simplify right side
    99.46x = 10,871.12
  5. Step 5: Solve for x
    x = 10,871.12/99.46
  6. Step 6: Final answer
    x = 109.30

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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.