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Finding the Fourth Proportional to 307.11, 459.63 and 281.82

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Solution

The fourth proportional to 307.11, 459.63 and 281.82 is: 421.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.11 : 459.63 = 281.82 : x
  2. Step 2: Convert to fraction form
    307.11/459.63 = 281.82/x
  3. Step 3: Cross multiply
    307.11x = 459.63 × 281.82
  4. Step 4: Simplify right side
    307.11x = 129,532.93
  5. Step 5: Solve for x
    x = 129,532.93/307.11
  6. Step 6: Final answer
    x = 421.78

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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.