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Finding the Fourth Proportional to 311.40, 468.75 and 286.29

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Solution

The fourth proportional to 311.40, 468.75 and 286.29 is: 430.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.40 : 468.75 = 286.29 : x
  2. Step 2: Convert to fraction form
    311.40/468.75 = 286.29/x
  3. Step 3: Cross multiply
    311.40x = 468.75 × 286.29
  4. Step 4: Simplify right side
    311.40x = 134,198.44
  5. Step 5: Solve for x
    x = 134,198.44/311.40
  6. Step 6: Final answer
    x = 430.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.