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Finding the Fourth Proportional to 99.41, 149.19 and 53.77

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Solution

The fourth proportional to 99.41, 149.19 and 53.77 is: 80.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.41 : 149.19 = 53.77 : x
  2. Step 2: Convert to fraction form
    99.41/149.19 = 53.77/x
  3. Step 3: Cross multiply
    99.41x = 149.19 × 53.77
  4. Step 4: Simplify right side
    99.41x = 8,021.95
  5. Step 5: Solve for x
    x = 8,021.95/99.41
  6. Step 6: Final answer
    x = 80.70

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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.