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Finding the Fourth Proportional to 97.78, 146.56 and 36.87

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Solution

The fourth proportional to 97.78, 146.56 and 36.87 is: 55.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.78 : 146.56 = 36.87 : x
  2. Step 2: Convert to fraction form
    97.78/146.56 = 36.87/x
  3. Step 3: Cross multiply
    97.78x = 146.56 × 36.87
  4. Step 4: Simplify right side
    97.78x = 5,403.67
  5. Step 5: Solve for x
    x = 5,403.67/97.78
  6. Step 6: Final answer
    x = 55.26

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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.