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Finding the Fourth Proportional to 98.91, 149.13 and 93.06

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Solution

The fourth proportional to 98.91, 149.13 and 93.06 is: 140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.91 : 149.13 = 93.06 : x
  2. Step 2: Convert to fraction form
    98.91/149.13 = 93.06/x
  3. Step 3: Cross multiply
    98.91x = 149.13 × 93.06
  4. Step 4: Simplify right side
    98.91x = 13,878.04
  5. Step 5: Solve for x
    x = 13,878.04/98.91
  6. Step 6: Final answer
    x = 140.31

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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.