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Finding the Fourth Proportional to 61.85, 85.22 and 45.45

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Solution

The fourth proportional to 61.85, 85.22 and 45.45 is: 62.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.85 : 85.22 = 45.45 : x
  2. Step 2: Convert to fraction form
    61.85/85.22 = 45.45/x
  3. Step 3: Cross multiply
    61.85x = 85.22 × 45.45
  4. Step 4: Simplify right side
    61.85x = 3,873.25
  5. Step 5: Solve for x
    x = 3,873.25/61.85
  6. Step 6: Final answer
    x = 62.62

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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.