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Finding the Fourth Proportional to 62.22, 85.86 and 34.59

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Solution

The fourth proportional to 62.22, 85.86 and 34.59 is: 47.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.22 : 85.86 = 34.59 : x
  2. Step 2: Convert to fraction form
    62.22/85.86 = 34.59/x
  3. Step 3: Cross multiply
    62.22x = 85.86 × 34.59
  4. Step 4: Simplify right side
    62.22x = 2,970.14
  5. Step 5: Solve for x
    x = 2,970.14/62.22
  6. Step 6: Final answer
    x = 47.74

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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.