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Finding the Fourth Proportional to 313.26, 472.64 and 310.83

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Solution

The fourth proportional to 313.26, 472.64 and 310.83 is: 468.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.26 : 472.64 = 310.83 : x
  2. Step 2: Convert to fraction form
    313.26/472.64 = 310.83/x
  3. Step 3: Cross multiply
    313.26x = 472.64 × 310.83
  4. Step 4: Simplify right side
    313.26x = 146,909.14
  5. Step 5: Solve for x
    x = 146,909.14/313.26
  6. Step 6: Final answer
    x = 468.97

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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.