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Finding the Fourth Proportional to 66.78, 100.22 and 46.46

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Solution

The fourth proportional to 66.78, 100.22 and 46.46 is: 69.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.78 : 100.22 = 46.46 : x
  2. Step 2: Convert to fraction form
    66.78/100.22 = 46.46/x
  3. Step 3: Cross multiply
    66.78x = 100.22 × 46.46
  4. Step 4: Simplify right side
    66.78x = 4,656.22
  5. Step 5: Solve for x
    x = 4,656.22/66.78
  6. Step 6: Final answer
    x = 69.72

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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.