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Finding the Fourth Proportional to 407.88, 611.81 and 99.73

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Solution

The fourth proportional to 407.88, 611.81 and 99.73 is: 149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.88 : 611.81 = 99.73 : x
  2. Step 2: Convert to fraction form
    407.88/611.81 = 99.73/x
  3. Step 3: Cross multiply
    407.88x = 611.81 × 99.73
  4. Step 4: Simplify right side
    407.88x = 61,016.83
  5. Step 5: Solve for x
    x = 61,016.83/407.88
  6. Step 6: Final answer
    x = 149.60

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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.