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Finding the Fourth Proportional to 40.21, 59.83 and 40.07

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Solution

The fourth proportional to 40.21, 59.83 and 40.07 is: 59.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.21 : 59.83 = 40.07 : x
  2. Step 2: Convert to fraction form
    40.21/59.83 = 40.07/x
  3. Step 3: Cross multiply
    40.21x = 59.83 × 40.07
  4. Step 4: Simplify right side
    40.21x = 2,397.44
  5. Step 5: Solve for x
    x = 2,397.44/40.21
  6. Step 6: Final answer
    x = 59.63

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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.