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Finding the Fourth Proportional to 284.76, 423.63 and 271.80

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Solution

The fourth proportional to 284.76, 423.63 and 271.80 is: 404.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.76 : 423.63 = 271.80 : x
  2. Step 2: Convert to fraction form
    284.76/423.63 = 271.80/x
  3. Step 3: Cross multiply
    284.76x = 423.63 × 271.80
  4. Step 4: Simplify right side
    284.76x = 115,142.63
  5. Step 5: Solve for x
    x = 115,142.63/284.76
  6. Step 6: Final answer
    x = 404.35

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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.