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Finding the Fourth Proportional to 97.44, 134.64 and 97.20

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Solution

The fourth proportional to 97.44, 134.64 and 97.20 is: 134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.44 : 134.64 = 97.20 : x
  2. Step 2: Convert to fraction form
    97.44/134.64 = 97.20/x
  3. Step 3: Cross multiply
    97.44x = 134.64 × 97.20
  4. Step 4: Simplify right side
    97.44x = 13,087.01
  5. Step 5: Solve for x
    x = 13,087.01/97.44
  6. Step 6: Final answer
    x = 134.31

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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.