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Finding the Fourth Proportional to 385.57, 528.48 and 371.71

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Solution

The fourth proportional to 385.57, 528.48 and 371.71 is: 509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.57 : 528.48 = 371.71 : x
  2. Step 2: Convert to fraction form
    385.57/528.48 = 371.71/x
  3. Step 3: Cross multiply
    385.57x = 528.48 × 371.71
  4. Step 4: Simplify right side
    385.57x = 196,441.30
  5. Step 5: Solve for x
    x = 196,441.30/385.57
  6. Step 6: Final answer
    x = 509.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.