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Finding the Fourth Proportional to 311.86, 465.62 and 281.14

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Solution

The fourth proportional to 311.86, 465.62 and 281.14 is: 419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.86 : 465.62 = 281.14 : x
  2. Step 2: Convert to fraction form
    311.86/465.62 = 281.14/x
  3. Step 3: Cross multiply
    311.86x = 465.62 × 281.14
  4. Step 4: Simplify right side
    311.86x = 130,904.41
  5. Step 5: Solve for x
    x = 130,904.41/311.86
  6. Step 6: Final answer
    x = 419.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.