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Finding the Fourth Proportional to 45.12, 61.44 and 44.96

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Solution

The fourth proportional to 45.12, 61.44 and 44.96 is: 61.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.12 : 61.44 = 44.96 : x
  2. Step 2: Convert to fraction form
    45.12/61.44 = 44.96/x
  3. Step 3: Cross multiply
    45.12x = 61.44 × 44.96
  4. Step 4: Simplify right side
    45.12x = 2,762.34
  5. Step 5: Solve for x
    x = 2,762.34/45.12
  6. Step 6: Final answer
    x = 61.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.