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Finding the Fourth Proportional to 309.56, 429.23 and 293.16

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Solution

The fourth proportional to 309.56, 429.23 and 293.16 is: 406.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.56 : 429.23 = 293.16 : x
  2. Step 2: Convert to fraction form
    309.56/429.23 = 293.16/x
  3. Step 3: Cross multiply
    309.56x = 429.23 × 293.16
  4. Step 4: Simplify right side
    309.56x = 125,833.07
  5. Step 5: Solve for x
    x = 125,833.07/309.56
  6. Step 6: Final answer
    x = 406.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.