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Finding the Fourth Proportional to 284.39, 423.60 and 274.35

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Solution

The fourth proportional to 284.39, 423.60 and 274.35 is: 408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.39 : 423.60 = 274.35 : x
  2. Step 2: Convert to fraction form
    284.39/423.60 = 274.35/x
  3. Step 3: Cross multiply
    284.39x = 423.60 × 274.35
  4. Step 4: Simplify right side
    284.39x = 116,214.66
  5. Step 5: Solve for x
    x = 116,214.66/284.39
  6. Step 6: Final answer
    x = 408.65

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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.