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Finding the Fourth Proportional to 285.17, 393 and 238.55

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Solution

The fourth proportional to 285.17, 393 and 238.55 is: 328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.17 : 393 = 238.55 : x
  2. Step 2: Convert to fraction form
    285.17/393 = 238.55/x
  3. Step 3: Cross multiply
    285.17x = 393 × 238.55
  4. Step 4: Simplify right side
    285.17x = 93,750.15
  5. Step 5: Solve for x
    x = 93,750.15/285.17
  6. Step 6: Final answer
    x = 328.75

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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.