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Finding the Fourth Proportional to 313.43, 430.20 and 285.62

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Solution

The fourth proportional to 313.43, 430.20 and 285.62 is: 392.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.43 : 430.20 = 285.62 : x
  2. Step 2: Convert to fraction form
    313.43/430.20 = 285.62/x
  3. Step 3: Cross multiply
    313.43x = 430.20 × 285.62
  4. Step 4: Simplify right side
    313.43x = 122,871.57
  5. Step 5: Solve for x
    x = 122,871.57/313.43
  6. Step 6: Final answer
    x = 392.03

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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.