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Finding the Fourth Proportional to 385.27, 531.67 and 210.61

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Solution

The fourth proportional to 385.27, 531.67 and 210.61 is: 290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.27 : 531.67 = 210.61 : x
  2. Step 2: Convert to fraction form
    385.27/531.67 = 210.61/x
  3. Step 3: Cross multiply
    385.27x = 531.67 × 210.61
  4. Step 4: Simplify right side
    385.27x = 111,975.02
  5. Step 5: Solve for x
    x = 111,975.02/385.27
  6. Step 6: Final answer
    x = 290.64

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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.