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Finding the Fourth Proportional to 285.80, 394.32 and 203.12

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Solution

The fourth proportional to 285.80, 394.32 and 203.12 is: 280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.80 : 394.32 = 203.12 : x
  2. Step 2: Convert to fraction form
    285.80/394.32 = 203.12/x
  3. Step 3: Cross multiply
    285.80x = 394.32 × 203.12
  4. Step 4: Simplify right side
    285.80x = 80,094.28
  5. Step 5: Solve for x
    x = 80,094.28/285.80
  6. Step 6: Final answer
    x = 280.25

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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.