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Finding the Fourth Proportional to 61.99, 92.88 and 40.57

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Solution

The fourth proportional to 61.99, 92.88 and 40.57 is: 60.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.99 : 92.88 = 40.57 : x
  2. Step 2: Convert to fraction form
    61.99/92.88 = 40.57/x
  3. Step 3: Cross multiply
    61.99x = 92.88 × 40.57
  4. Step 4: Simplify right side
    61.99x = 3,768.14
  5. Step 5: Solve for x
    x = 3,768.14/61.99
  6. Step 6: Final answer
    x = 60.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.