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Finding the Fourth Proportional to 109.15, 162.87 and 99.44

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Solution

The fourth proportional to 109.15, 162.87 and 99.44 is: 148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.15 : 162.87 = 99.44 : x
  2. Step 2: Convert to fraction form
    109.15/162.87 = 99.44/x
  3. Step 3: Cross multiply
    109.15x = 162.87 × 99.44
  4. Step 4: Simplify right side
    109.15x = 16,196.69
  5. Step 5: Solve for x
    x = 16,196.69/109.15
  6. Step 6: Final answer
    x = 148.39

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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.