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Finding the Fourth Proportional to 45.90, 68.49 and 38.19

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Solution

The fourth proportional to 45.90, 68.49 and 38.19 is: 56.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.90 : 68.49 = 38.19 : x
  2. Step 2: Convert to fraction form
    45.90/68.49 = 38.19/x
  3. Step 3: Cross multiply
    45.90x = 68.49 × 38.19
  4. Step 4: Simplify right side
    45.90x = 2,615.63
  5. Step 5: Solve for x
    x = 2,615.63/45.90
  6. Step 6: Final answer
    x = 56.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.