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Finding the Fourth Proportional to 284.39, 390.76 and 226.07

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Solution

The fourth proportional to 284.39, 390.76 and 226.07 is: 310.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.39 : 390.76 = 226.07 : x
  2. Step 2: Convert to fraction form
    284.39/390.76 = 226.07/x
  3. Step 3: Cross multiply
    284.39x = 390.76 × 226.07
  4. Step 4: Simplify right side
    284.39x = 88,337.49
  5. Step 5: Solve for x
    x = 88,337.49/284.39
  6. Step 6: Final answer
    x = 310.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.