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Finding the Fourth Proportional to 97.78, 146.69 and 46.45

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Solution

The fourth proportional to 97.78, 146.69 and 46.45 is: 69.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.78 : 146.69 = 46.45 : x
  2. Step 2: Convert to fraction form
    97.78/146.69 = 46.45/x
  3. Step 3: Cross multiply
    97.78x = 146.69 × 46.45
  4. Step 4: Simplify right side
    97.78x = 6,813.75
  5. Step 5: Solve for x
    x = 6,813.75/97.78
  6. Step 6: Final answer
    x = 69.68

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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.