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Finding the Fourth Proportional to 468.31, 646.27 and 261.31

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Solution

The fourth proportional to 468.31, 646.27 and 261.31 is: 360.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.31 : 646.27 = 261.31 : x
  2. Step 2: Convert to fraction form
    468.31/646.27 = 261.31/x
  3. Step 3: Cross multiply
    468.31x = 646.27 × 261.31
  4. Step 4: Simplify right side
    468.31x = 168,879.08
  5. Step 5: Solve for x
    x = 168,879.08/468.31
  6. Step 6: Final answer
    x = 360.61

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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.