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Finding the Fourth Proportional to 284.61, 390.21 and 279.42

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Solution

The fourth proportional to 284.61, 390.21 and 279.42 is: 383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.61 : 390.21 = 279.42 : x
  2. Step 2: Convert to fraction form
    284.61/390.21 = 279.42/x
  3. Step 3: Cross multiply
    284.61x = 390.21 × 279.42
  4. Step 4: Simplify right side
    284.61x = 109,033.46
  5. Step 5: Solve for x
    x = 109,033.46/284.61
  6. Step 6: Final answer
    x = 383.09

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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.