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Finding the Fourth Proportional to 62.21, 85.79 and 51.80

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Solution

The fourth proportional to 62.21, 85.79 and 51.80 is: 71.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.21 : 85.79 = 51.80 : x
  2. Step 2: Convert to fraction form
    62.21/85.79 = 51.80/x
  3. Step 3: Cross multiply
    62.21x = 85.79 × 51.80
  4. Step 4: Simplify right side
    62.21x = 4,443.62
  5. Step 5: Solve for x
    x = 4,443.62/62.21
  6. Step 6: Final answer
    x = 71.43

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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.