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Finding the Fourth Proportional to 435.02, 600.12 and 285.80

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Solution

The fourth proportional to 435.02, 600.12 and 285.80 is: 394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.02 : 600.12 = 285.80 : x
  2. Step 2: Convert to fraction form
    435.02/600.12 = 285.80/x
  3. Step 3: Cross multiply
    435.02x = 600.12 × 285.80
  4. Step 4: Simplify right side
    435.02x = 171,513.55
  5. Step 5: Solve for x
    x = 171,513.55/435.02
  6. Step 6: Final answer
    x = 394.27

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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.