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Finding the Fourth Proportional to 308, 425.76 and 282.08

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Solution

The fourth proportional to 308, 425.76 and 282.08 is: 389.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    308 : 425.76 = 282.08 : x
  2. Step 2: Convert to fraction form
    308/425.76 = 282.08/x
  3. Step 3: Cross multiply
    308x = 425.76 × 282.08
  4. Step 4: Simplify right side
    308x = 120,098.38
  5. Step 5: Solve for x
    x = 120,098.38/308
  6. Step 6: Final answer
    x = 389.93

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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.