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Finding the Fourth Proportional to 97.63, 146.27 and 51.30

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Solution

The fourth proportional to 97.63, 146.27 and 51.30 is: 76.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.63 : 146.27 = 51.30 : x
  2. Step 2: Convert to fraction form
    97.63/146.27 = 51.30/x
  3. Step 3: Cross multiply
    97.63x = 146.27 × 51.30
  4. Step 4: Simplify right side
    97.63x = 7,503.78
  5. Step 5: Solve for x
    x = 7,503.78/97.63
  6. Step 6: Final answer
    x = 76.86

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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.