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Finding the Fourth Proportional to 45.26, 62.46 and 31.46

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Solution

The fourth proportional to 45.26, 62.46 and 31.46 is: 43.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.26 : 62.46 = 31.46 : x
  2. Step 2: Convert to fraction form
    45.26/62.46 = 31.46/x
  3. Step 3: Cross multiply
    45.26x = 62.46 × 31.46
  4. Step 4: Simplify right side
    45.26x = 1,964.99
  5. Step 5: Solve for x
    x = 1,964.99/45.26
  6. Step 6: Final answer
    x = 43.42

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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.