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Finding the Fourth Proportional to 66.03, 98.30 and 65.69

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Solution

The fourth proportional to 66.03, 98.30 and 65.69 is: 97.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.03 : 98.30 = 65.69 : x
  2. Step 2: Convert to fraction form
    66.03/98.30 = 65.69/x
  3. Step 3: Cross multiply
    66.03x = 98.30 × 65.69
  4. Step 4: Simplify right side
    66.03x = 6,457.33
  5. Step 5: Solve for x
    x = 6,457.33/66.03
  6. Step 6: Final answer
    x = 97.79

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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.