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Finding the Fourth Proportional to 385.80, 528.73 and 385.16

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Solution

The fourth proportional to 385.80, 528.73 and 385.16 is: 527.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.80 : 528.73 = 385.16 : x
  2. Step 2: Convert to fraction form
    385.80/528.73 = 385.16/x
  3. Step 3: Cross multiply
    385.80x = 528.73 × 385.16
  4. Step 4: Simplify right side
    385.80x = 203,645.65
  5. Step 5: Solve for x
    x = 203,645.65/385.80
  6. Step 6: Final answer
    x = 527.85

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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.