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Finding the Fourth Proportional to 66.50, 91.76 and 36.99

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Solution

The fourth proportional to 66.50, 91.76 and 36.99 is: 51.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.50 : 91.76 = 36.99 : x
  2. Step 2: Convert to fraction form
    66.50/91.76 = 36.99/x
  3. Step 3: Cross multiply
    66.50x = 91.76 × 36.99
  4. Step 4: Simplify right side
    66.50x = 3,394.20
  5. Step 5: Solve for x
    x = 3,394.20/66.50
  6. Step 6: Final answer
    x = 51.04

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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.