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Finding the Fourth Proportional to 97.36, 144.05 and 97.09

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Solution

The fourth proportional to 97.36, 144.05 and 97.09 is: 143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.36 : 144.05 = 97.09 : x
  2. Step 2: Convert to fraction form
    97.36/144.05 = 97.09/x
  3. Step 3: Cross multiply
    97.36x = 144.05 × 97.09
  4. Step 4: Simplify right side
    97.36x = 13,985.81
  5. Step 5: Solve for x
    x = 13,985.81/97.36
  6. Step 6: Final answer
    x = 143.65

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.