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Finding the Fourth Proportional to 45.44, 68.46 and 40.53

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Solution

The fourth proportional to 45.44, 68.46 and 40.53 is: 61.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.44 : 68.46 = 40.53 : x
  2. Step 2: Convert to fraction form
    45.44/68.46 = 40.53/x
  3. Step 3: Cross multiply
    45.44x = 68.46 × 40.53
  4. Step 4: Simplify right side
    45.44x = 2,774.58
  5. Step 5: Solve for x
    x = 2,774.58/45.44
  6. Step 6: Final answer
    x = 61.06

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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.