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Finding the Fourth Proportional to 65.99, 98.35 and 65.90

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Solution

The fourth proportional to 65.99, 98.35 and 65.90 is: 98.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.99 : 98.35 = 65.90 : x
  2. Step 2: Convert to fraction form
    65.99/98.35 = 65.90/x
  3. Step 3: Cross multiply
    65.99x = 98.35 × 65.90
  4. Step 4: Simplify right side
    65.99x = 6,481.35
  5. Step 5: Solve for x
    x = 6,481.35/65.99
  6. Step 6: Final answer
    x = 98.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.