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Finding the Fourth Proportional to 99.94, 148.04 and 98.86

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Solution

The fourth proportional to 99.94, 148.04 and 98.86 is: 146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.94 : 148.04 = 98.86 : x
  2. Step 2: Convert to fraction form
    99.94/148.04 = 98.86/x
  3. Step 3: Cross multiply
    99.94x = 148.04 × 98.86
  4. Step 4: Simplify right side
    99.94x = 14,635.23
  5. Step 5: Solve for x
    x = 14,635.23/99.94
  6. Step 6: Final answer
    x = 146.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.