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Finding the Fourth Proportional to 383.61, 573.17 and 284.36

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Solution

The fourth proportional to 383.61, 573.17 and 284.36 is: 424.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.61 : 573.17 = 284.36 : x
  2. Step 2: Convert to fraction form
    383.61/573.17 = 284.36/x
  3. Step 3: Cross multiply
    383.61x = 573.17 × 284.36
  4. Step 4: Simplify right side
    383.61x = 162,986.62
  5. Step 5: Solve for x
    x = 162,986.62/383.61
  6. Step 6: Final answer
    x = 424.88

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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.