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Finding the Fourth Proportional to 313.65, 430.24 and 310.91

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Solution

The fourth proportional to 313.65, 430.24 and 310.91 is: 426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.65 : 430.24 = 310.91 : x
  2. Step 2: Convert to fraction form
    313.65/430.24 = 310.91/x
  3. Step 3: Cross multiply
    313.65x = 430.24 × 310.91
  4. Step 4: Simplify right side
    313.65x = 133,766.22
  5. Step 5: Solve for x
    x = 133,766.22/313.65
  6. Step 6: Final answer
    x = 426.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.