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Finding the Fourth Proportional to 45.09, 61.86 and 44.07

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Solution

The fourth proportional to 45.09, 61.86 and 44.07 is: 60.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.09 : 61.86 = 44.07 : x
  2. Step 2: Convert to fraction form
    45.09/61.86 = 44.07/x
  3. Step 3: Cross multiply
    45.09x = 61.86 × 44.07
  4. Step 4: Simplify right side
    45.09x = 2,726.17
  5. Step 5: Solve for x
    x = 2,726.17/45.09
  6. Step 6: Final answer
    x = 60.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.