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Finding the Fourth Proportional to 285.92, 425.97 and 272.15

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Solution

The fourth proportional to 285.92, 425.97 and 272.15 is: 405.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.92 : 425.97 = 272.15 : x
  2. Step 2: Convert to fraction form
    285.92/425.97 = 272.15/x
  3. Step 3: Cross multiply
    285.92x = 425.97 × 272.15
  4. Step 4: Simplify right side
    285.92x = 115,926.37
  5. Step 5: Solve for x
    x = 115,926.37/285.92
  6. Step 6: Final answer
    x = 405.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.