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Finding the Fourth Proportional to 309.26, 461.49 and 292.86

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Solution

The fourth proportional to 309.26, 461.49 and 292.86 is: 437.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.26 : 461.49 = 292.86 : x
  2. Step 2: Convert to fraction form
    309.26/461.49 = 292.86/x
  3. Step 3: Cross multiply
    309.26x = 461.49 × 292.86
  4. Step 4: Simplify right side
    309.26x = 135,151.96
  5. Step 5: Solve for x
    x = 135,151.96/309.26
  6. Step 6: Final answer
    x = 437.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.