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Finding the Fourth Proportional to 98.91, 147.42 and 94.86

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Solution

The fourth proportional to 98.91, 147.42 and 94.86 is: 141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.91 : 147.42 = 94.86 : x
  2. Step 2: Convert to fraction form
    98.91/147.42 = 94.86/x
  3. Step 3: Cross multiply
    98.91x = 147.42 × 94.86
  4. Step 4: Simplify right side
    98.91x = 13,984.26
  5. Step 5: Solve for x
    x = 13,984.26/98.91
  6. Step 6: Final answer
    x = 141.38

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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.