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Finding the Fourth Proportional to 311.61, 429.64 and 262.38

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Solution

The fourth proportional to 311.61, 429.64 and 262.38 is: 361.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.61 : 429.64 = 262.38 : x
  2. Step 2: Convert to fraction form
    311.61/429.64 = 262.38/x
  3. Step 3: Cross multiply
    311.61x = 429.64 × 262.38
  4. Step 4: Simplify right side
    311.61x = 112,728.29
  5. Step 5: Solve for x
    x = 112,728.29/311.61
  6. Step 6: Final answer
    x = 361.76

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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.