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Finding the Fourth Proportional to 285.20, 393.28 and 185.46

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Solution

The fourth proportional to 285.20, 393.28 and 185.46 is: 255.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.20 : 393.28 = 185.46 : x
  2. Step 2: Convert to fraction form
    285.20/393.28 = 185.46/x
  3. Step 3: Cross multiply
    285.20x = 393.28 × 185.46
  4. Step 4: Simplify right side
    285.20x = 72,937.71
  5. Step 5: Solve for x
    x = 72,937.71/285.20
  6. Step 6: Final answer
    x = 255.74

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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.