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Finding the Fourth Proportional to 284.40, 392.31 and 205.65

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Solution

The fourth proportional to 284.40, 392.31 and 205.65 is: 283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.40 : 392.31 = 205.65 : x
  2. Step 2: Convert to fraction form
    284.40/392.31 = 205.65/x
  3. Step 3: Cross multiply
    284.40x = 392.31 × 205.65
  4. Step 4: Simplify right side
    284.40x = 80,678.55
  5. Step 5: Solve for x
    x = 80,678.55/284.40
  6. Step 6: Final answer
    x = 283.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.