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Finding the Fourth Proportional to 193.56, 290.34 and 65.32

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Solution

The fourth proportional to 193.56, 290.34 and 65.32 is: 97.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.56 : 290.34 = 65.32 : x
  2. Step 2: Convert to fraction form
    193.56/290.34 = 65.32/x
  3. Step 3: Cross multiply
    193.56x = 290.34 × 65.32
  4. Step 4: Simplify right side
    193.56x = 18,965.01
  5. Step 5: Solve for x
    x = 18,965.01/193.56
  6. Step 6: Final answer
    x = 97.98

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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.