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Finding the Fourth Proportional to 45.64, 68.09 and 40.24

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Solution

The fourth proportional to 45.64, 68.09 and 40.24 is: 60.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.64 : 68.09 = 40.24 : x
  2. Step 2: Convert to fraction form
    45.64/68.09 = 40.24/x
  3. Step 3: Cross multiply
    45.64x = 68.09 × 40.24
  4. Step 4: Simplify right side
    45.64x = 2,739.94
  5. Step 5: Solve for x
    x = 2,739.94/45.64
  6. Step 6: Final answer
    x = 60.03

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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.