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Finding the Fourth Proportional to 65.82, 98.73 and 35.45

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Solution

The fourth proportional to 65.82, 98.73 and 35.45 is: 53.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.82 : 98.73 = 35.45 : x
  2. Step 2: Convert to fraction form
    65.82/98.73 = 35.45/x
  3. Step 3: Cross multiply
    65.82x = 98.73 × 35.45
  4. Step 4: Simplify right side
    65.82x = 3,499.48
  5. Step 5: Solve for x
    x = 3,499.48/65.82
  6. Step 6: Final answer
    x = 53.17

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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.