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Finding the Fourth Proportional to 528.38, 729.42 and 351.64

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Solution

The fourth proportional to 528.38, 729.42 and 351.64 is: 485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.38 : 729.42 = 351.64 : x
  2. Step 2: Convert to fraction form
    528.38/729.42 = 351.64/x
  3. Step 3: Cross multiply
    528.38x = 729.42 × 351.64
  4. Step 4: Simplify right side
    528.38x = 256,492.30
  5. Step 5: Solve for x
    x = 256,492.30/528.38
  6. Step 6: Final answer
    x = 485.43

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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.