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Finding the Fourth Proportional to 66.50, 91.84 and 49.34

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Solution

The fourth proportional to 66.50, 91.84 and 49.34 is: 68.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.50 : 91.84 = 49.34 : x
  2. Step 2: Convert to fraction form
    66.50/91.84 = 49.34/x
  3. Step 3: Cross multiply
    66.50x = 91.84 × 49.34
  4. Step 4: Simplify right side
    66.50x = 4,531.39
  5. Step 5: Solve for x
    x = 4,531.39/66.50
  6. Step 6: Final answer
    x = 68.14

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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.