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Finding the Fourth Proportional to 383, 528.50 and 217.16

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Solution

The fourth proportional to 383, 528.50 and 217.16 is: 299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    383 : 528.50 = 217.16 : x
  2. Step 2: Convert to fraction form
    383/528.50 = 217.16/x
  3. Step 3: Cross multiply
    383x = 528.50 × 217.16
  4. Step 4: Simplify right side
    383x = 114,769.06
  5. Step 5: Solve for x
    x = 114,769.06/383
  6. Step 6: Final answer
    x = 299.66

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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.