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Finding the Fourth Proportional to 45.37, 68.12 and 40.00

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Solution

The fourth proportional to 45.37, 68.12 and 40.00 is: 60.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.37 : 68.12 = 40.00 : x
  2. Step 2: Convert to fraction form
    45.37/68.12 = 40.00/x
  3. Step 3: Cross multiply
    45.37x = 68.12 × 40.00
  4. Step 4: Simplify right side
    45.37x = 2,724.84
  5. Step 5: Solve for x
    x = 2,724.84/45.37
  6. Step 6: Final answer
    x = 60.06

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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.