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Finding the Fourth Proportional to 285.74, 394.72 and 242.54

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Solution

The fourth proportional to 285.74, 394.72 and 242.54 is: 335.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.74 : 394.72 = 242.54 : x
  2. Step 2: Convert to fraction form
    285.74/394.72 = 242.54/x
  3. Step 3: Cross multiply
    285.74x = 394.72 × 242.54
  4. Step 4: Simplify right side
    285.74x = 95,735.39
  5. Step 5: Solve for x
    x = 95,735.39/285.74
  6. Step 6: Final answer
    x = 335.04

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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.