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Finding the Fourth Proportional to 45.68, 68.80 and 40.04

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Solution

The fourth proportional to 45.68, 68.80 and 40.04 is: 60.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.68 : 68.80 = 40.04 : x
  2. Step 2: Convert to fraction form
    45.68/68.80 = 40.04/x
  3. Step 3: Cross multiply
    45.68x = 68.80 × 40.04
  4. Step 4: Simplify right side
    45.68x = 2,754.75
  5. Step 5: Solve for x
    x = 2,754.75/45.68
  6. Step 6: Final answer
    x = 60.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.