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Finding the Fourth Proportional to 382.72, 527.48 and 309.28

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Solution

The fourth proportional to 382.72, 527.48 and 309.28 is: 426.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.72 : 527.48 = 309.28 : x
  2. Step 2: Convert to fraction form
    382.72/527.48 = 309.28/x
  3. Step 3: Cross multiply
    382.72x = 527.48 × 309.28
  4. Step 4: Simplify right side
    382.72x = 163,139.01
  5. Step 5: Solve for x
    x = 163,139.01/382.72
  6. Step 6: Final answer
    x = 426.26

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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.