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Finding the Fourth Proportional to 311.78, 465.14 and 302.96

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Solution

The fourth proportional to 311.78, 465.14 and 302.96 is: 451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.78 : 465.14 = 302.96 : x
  2. Step 2: Convert to fraction form
    311.78/465.14 = 302.96/x
  3. Step 3: Cross multiply
    311.78x = 465.14 × 302.96
  4. Step 4: Simplify right side
    311.78x = 140,918.81
  5. Step 5: Solve for x
    x = 140,918.81/311.78
  6. Step 6: Final answer
    x = 451.98

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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.