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Finding the Fourth Proportional to 339.56, 468.73 and 292.11

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Solution

The fourth proportional to 339.56, 468.73 and 292.11 is: 403.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.56 : 468.73 = 292.11 : x
  2. Step 2: Convert to fraction form
    339.56/468.73 = 292.11/x
  3. Step 3: Cross multiply
    339.56x = 468.73 × 292.11
  4. Step 4: Simplify right side
    339.56x = 136,920.72
  5. Step 5: Solve for x
    x = 136,920.72/339.56
  6. Step 6: Final answer
    x = 403.23

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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.