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Finding the Fourth Proportional to 284.50, 392.80 and 217.99

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Solution

The fourth proportional to 284.50, 392.80 and 217.99 is: 300.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.50 : 392.80 = 217.99 : x
  2. Step 2: Convert to fraction form
    284.50/392.80 = 217.99/x
  3. Step 3: Cross multiply
    284.50x = 392.80 × 217.99
  4. Step 4: Simplify right side
    284.50x = 85,626.47
  5. Step 5: Solve for x
    x = 85,626.47/284.50
  6. Step 6: Final answer
    x = 300.98

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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.