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Finding the Fourth Proportional to 284.78, 425.28 and 238.78

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Solution

The fourth proportional to 284.78, 425.28 and 238.78 is: 356.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.78 : 425.28 = 238.78 : x
  2. Step 2: Convert to fraction form
    284.78/425.28 = 238.78/x
  3. Step 3: Cross multiply
    284.78x = 425.28 × 238.78
  4. Step 4: Simplify right side
    284.78x = 101,549.79
  5. Step 5: Solve for x
    x = 101,549.79/284.78
  6. Step 6: Final answer
    x = 356.59

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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.