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Finding the Fourth Proportional to 99.42, 148.82 and 79.37

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Solution

The fourth proportional to 99.42, 148.82 and 79.37 is: 118.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.42 : 148.82 = 79.37 : x
  2. Step 2: Convert to fraction form
    99.42/148.82 = 79.37/x
  3. Step 3: Cross multiply
    99.42x = 148.82 × 79.37
  4. Step 4: Simplify right side
    99.42x = 11,811.84
  5. Step 5: Solve for x
    x = 11,811.84/99.42
  6. Step 6: Final answer
    x = 118.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.