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Finding the Fourth Proportional to 385.22, 531.77 and 286.81

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Solution

The fourth proportional to 385.22, 531.77 and 286.81 is: 395.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.22 : 531.77 = 286.81 : x
  2. Step 2: Convert to fraction form
    385.22/531.77 = 286.81/x
  3. Step 3: Cross multiply
    385.22x = 531.77 × 286.81
  4. Step 4: Simplify right side
    385.22x = 152,514.19
  5. Step 5: Solve for x
    x = 152,514.19/385.22
  6. Step 6: Final answer
    x = 395.91

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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.