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Finding the Fourth Proportional to 468.26, 645.92 and 291.14

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Solution

The fourth proportional to 468.26, 645.92 and 291.14 is: 401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.26 : 645.92 = 291.14 : x
  2. Step 2: Convert to fraction form
    468.26/645.92 = 291.14/x
  3. Step 3: Cross multiply
    468.26x = 645.92 × 291.14
  4. Step 4: Simplify right side
    468.26x = 188,053.15
  5. Step 5: Solve for x
    x = 188,053.15/468.26
  6. Step 6: Final answer
    x = 401.60

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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.