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Finding the Fourth Proportional to 45.74, 68.59 and 22.91

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Solution

The fourth proportional to 45.74, 68.59 and 22.91 is: 34.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.74 : 68.59 = 22.91 : x
  2. Step 2: Convert to fraction form
    45.74/68.59 = 22.91/x
  3. Step 3: Cross multiply
    45.74x = 68.59 × 22.91
  4. Step 4: Simplify right side
    45.74x = 1,571.40
  5. Step 5: Solve for x
    x = 1,571.40/45.74
  6. Step 6: Final answer
    x = 34.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.