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Finding the Fourth Proportional to 65.75, 98.66 and 31.04

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Solution

The fourth proportional to 65.75, 98.66 and 31.04 is: 46.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.75 : 98.66 = 31.04 : x
  2. Step 2: Convert to fraction form
    65.75/98.66 = 31.04/x
  3. Step 3: Cross multiply
    65.75x = 98.66 × 31.04
  4. Step 4: Simplify right side
    65.75x = 3,062.36
  5. Step 5: Solve for x
    x = 3,062.36/65.75
  6. Step 6: Final answer
    x = 46.58

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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.