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Finding the Fourth Proportional to 466.21, 642.90 and 291.25

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Solution

The fourth proportional to 466.21, 642.90 and 291.25 is: 401.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.21 : 642.90 = 291.25 : x
  2. Step 2: Convert to fraction form
    466.21/642.90 = 291.25/x
  3. Step 3: Cross multiply
    466.21x = 642.90 × 291.25
  4. Step 4: Simplify right side
    466.21x = 187,244.63
  5. Step 5: Solve for x
    x = 187,244.63/466.21
  6. Step 6: Final answer
    x = 401.63

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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.