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Finding the Fourth Proportional to 85.98, 118.50 and 61.38

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Solution

The fourth proportional to 85.98, 118.50 and 61.38 is: 84.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.98 : 118.50 = 61.38 : x
  2. Step 2: Convert to fraction form
    85.98/118.50 = 61.38/x
  3. Step 3: Cross multiply
    85.98x = 118.50 × 61.38
  4. Step 4: Simplify right side
    85.98x = 7,273.53
  5. Step 5: Solve for x
    x = 7,273.53/85.98
  6. Step 6: Final answer
    x = 84.60

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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.