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Finding the Fourth Proportional to 61.94, 85.94 and 61.31

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Solution

The fourth proportional to 61.94, 85.94 and 61.31 is: 85.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.94 : 85.94 = 61.31 : x
  2. Step 2: Convert to fraction form
    61.94/85.94 = 61.31/x
  3. Step 3: Cross multiply
    61.94x = 85.94 × 61.31
  4. Step 4: Simplify right side
    61.94x = 5,268.98
  5. Step 5: Solve for x
    x = 5,268.98/61.94
  6. Step 6: Final answer
    x = 85.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.