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Finding the Fourth Proportional to 443.77, 611.93 and 311.15

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Solution

The fourth proportional to 443.77, 611.93 and 311.15 is: 429.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.77 : 611.93 = 311.15 : x
  2. Step 2: Convert to fraction form
    443.77/611.93 = 311.15/x
  3. Step 3: Cross multiply
    443.77x = 611.93 × 311.15
  4. Step 4: Simplify right side
    443.77x = 190,404.33
  5. Step 5: Solve for x
    x = 190,404.33/443.77
  6. Step 6: Final answer
    x = 429.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.