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Finding the Fourth Proportional to 66.01, 98.90 and 31.76

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Solution

The fourth proportional to 66.01, 98.90 and 31.76 is: 47.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.01 : 98.90 = 31.76 : x
  2. Step 2: Convert to fraction form
    66.01/98.90 = 31.76/x
  3. Step 3: Cross multiply
    66.01x = 98.90 × 31.76
  4. Step 4: Simplify right side
    66.01x = 3,141.06
  5. Step 5: Solve for x
    x = 3,141.06/66.01
  6. Step 6: Final answer
    x = 47.58

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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.