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Finding the Fourth Proportional to 98.40, 148.31 and 92.81

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Solution

The fourth proportional to 98.40, 148.31 and 92.81 is: 139.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.40 : 148.31 = 92.81 : x
  2. Step 2: Convert to fraction form
    98.40/148.31 = 92.81/x
  3. Step 3: Cross multiply
    98.40x = 148.31 × 92.81
  4. Step 4: Simplify right side
    98.40x = 13,764.96
  5. Step 5: Solve for x
    x = 13,764.96/98.40
  6. Step 6: Final answer
    x = 139.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.