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Finding the Fourth Proportional to 435, 600.12 and 285.57

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Solution

The fourth proportional to 435, 600.12 and 285.57 is: 393.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    435 : 600.12 = 285.57 : x
  2. Step 2: Convert to fraction form
    435/600.12 = 285.57/x
  3. Step 3: Cross multiply
    435x = 600.12 × 285.57
  4. Step 4: Simplify right side
    435x = 171,376.27
  5. Step 5: Solve for x
    x = 171,376.27/435
  6. Step 6: Final answer
    x = 393.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.