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Finding the Fourth Proportional to 407.99, 561.78 and 361.55

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Solution

The fourth proportional to 407.99, 561.78 and 361.55 is: 497.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.99 : 561.78 = 361.55 : x
  2. Step 2: Convert to fraction form
    407.99/561.78 = 361.55/x
  3. Step 3: Cross multiply
    407.99x = 561.78 × 361.55
  4. Step 4: Simplify right side
    407.99x = 203,108.75
  5. Step 5: Solve for x
    x = 203,108.75/407.99
  6. Step 6: Final answer
    x = 497.83

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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.