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Finding the Fourth Proportional to 62.22, 85.84 and 40.09

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Solution

The fourth proportional to 62.22, 85.84 and 40.09 is: 55.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.22 : 85.84 = 40.09 : x
  2. Step 2: Convert to fraction form
    62.22/85.84 = 40.09/x
  3. Step 3: Cross multiply
    62.22x = 85.84 × 40.09
  4. Step 4: Simplify right side
    62.22x = 3,441.11
  5. Step 5: Solve for x
    x = 3,441.11/62.22
  6. Step 6: Final answer
    x = 55.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.