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Finding the Fourth Proportional to 284.40, 425.96 and 278.32

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Solution

The fourth proportional to 284.40, 425.96 and 278.32 is: 416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.40 : 425.96 = 278.32 : x
  2. Step 2: Convert to fraction form
    284.40/425.96 = 278.32/x
  3. Step 3: Cross multiply
    284.40x = 425.96 × 278.32
  4. Step 4: Simplify right side
    284.40x = 118,553.19
  5. Step 5: Solve for x
    x = 118,553.19/284.40
  6. Step 6: Final answer
    x = 416.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.