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Finding the Fourth Proportional to 74.56, 102.64 and 62.26

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Solution

The fourth proportional to 74.56, 102.64 and 62.26 is: 85.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.56 : 102.64 = 62.26 : x
  2. Step 2: Convert to fraction form
    74.56/102.64 = 62.26/x
  3. Step 3: Cross multiply
    74.56x = 102.64 × 62.26
  4. Step 4: Simplify right side
    74.56x = 6,390.37
  5. Step 5: Solve for x
    x = 6,390.37/74.56
  6. Step 6: Final answer
    x = 85.71

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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.