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Finding the Fourth Proportional to 98.74, 147.40 and 94.31

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Solution

The fourth proportional to 98.74, 147.40 and 94.31 is: 140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.74 : 147.40 = 94.31 : x
  2. Step 2: Convert to fraction form
    98.74/147.40 = 94.31/x
  3. Step 3: Cross multiply
    98.74x = 147.40 × 94.31
  4. Step 4: Simplify right side
    98.74x = 13,900.99
  5. Step 5: Solve for x
    x = 13,900.99/98.74
  6. Step 6: Final answer
    x = 140.78

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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.