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Finding the Fourth Proportional to 66.49, 98.38 and 66.31

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Solution

The fourth proportional to 66.49, 98.38 and 66.31 is: 98.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.49 : 98.38 = 66.31 : x
  2. Step 2: Convert to fraction form
    66.49/98.38 = 66.31/x
  3. Step 3: Cross multiply
    66.49x = 98.38 × 66.31
  4. Step 4: Simplify right side
    66.49x = 6,523.58
  5. Step 5: Solve for x
    x = 6,523.58/66.49
  6. Step 6: Final answer
    x = 98.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.