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Finding the Fourth Proportional to 284.00, 423.83 and 276.71

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Solution

The fourth proportional to 284.00, 423.83 and 276.71 is: 412.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.00 : 423.83 = 276.71 : x
  2. Step 2: Convert to fraction form
    284.00/423.83 = 276.71/x
  3. Step 3: Cross multiply
    284.00x = 423.83 × 276.71
  4. Step 4: Simplify right side
    284.00x = 117,275.88
  5. Step 5: Solve for x
    x = 117,275.88/284.00
  6. Step 6: Final answer
    x = 412.95

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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.