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Finding the Fourth Proportional to 361.07, 497.30 and 311.86

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Solution

The fourth proportional to 361.07, 497.30 and 311.86 is: 429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.07 : 497.30 = 311.86 : x
  2. Step 2: Convert to fraction form
    361.07/497.30 = 311.86/x
  3. Step 3: Cross multiply
    361.07x = 497.30 × 311.86
  4. Step 4: Simplify right side
    361.07x = 155,087.98
  5. Step 5: Solve for x
    x = 155,087.98/361.07
  6. Step 6: Final answer
    x = 429.52

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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.