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Finding the Fourth Proportional to 99.51, 149.16 and 53.85

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Solution

The fourth proportional to 99.51, 149.16 and 53.85 is: 80.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.51 : 149.16 = 53.85 : x
  2. Step 2: Convert to fraction form
    99.51/149.16 = 53.85/x
  3. Step 3: Cross multiply
    99.51x = 149.16 × 53.85
  4. Step 4: Simplify right side
    99.51x = 8,032.27
  5. Step 5: Solve for x
    x = 8,032.27/99.51
  6. Step 6: Final answer
    x = 80.72

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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.