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Finding the Fourth Proportional to 454.11, 681.36 and 292.11

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Solution

The fourth proportional to 454.11, 681.36 and 292.11 is: 438.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.11 : 681.36 = 292.11 : x
  2. Step 2: Convert to fraction form
    454.11/681.36 = 292.11/x
  3. Step 3: Cross multiply
    454.11x = 681.36 × 292.11
  4. Step 4: Simplify right side
    454.11x = 199,032.07
  5. Step 5: Solve for x
    x = 199,032.07/454.11
  6. Step 6: Final answer
    x = 438.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.