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Finding the Fourth Proportional to 49.60, 68.26 and 45

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Solution

The fourth proportional to 49.60, 68.26 and 45 is: 61.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.60 : 68.26 = 45 : x
  2. Step 2: Convert to fraction form
    49.60/68.26 = 45/x
  3. Step 3: Cross multiply
    49.60x = 68.26 × 45
  4. Step 4: Simplify right side
    49.60x = 3,071.70
  5. Step 5: Solve for x
    x = 3,071.70/49.60
  6. Step 6: Final answer
    x = 61.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.