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Finding the Fourth Proportional to 407.84, 611.96 and 245.03

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Solution

The fourth proportional to 407.84, 611.96 and 245.03 is: 367.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.84 : 611.96 = 245.03 : x
  2. Step 2: Convert to fraction form
    407.84/611.96 = 245.03/x
  3. Step 3: Cross multiply
    407.84x = 611.96 × 245.03
  4. Step 4: Simplify right side
    407.84x = 149,944.27
  5. Step 5: Solve for x
    x = 149,944.27/407.84
  6. Step 6: Final answer
    x = 367.66

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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.