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Finding the Fourth Proportional to 293.23, 407.09 and 284.32

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Solution

The fourth proportional to 293.23, 407.09 and 284.32 is: 394.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.23 : 407.09 = 284.32 : x
  2. Step 2: Convert to fraction form
    293.23/407.09 = 284.32/x
  3. Step 3: Cross multiply
    293.23x = 407.09 × 284.32
  4. Step 4: Simplify right side
    293.23x = 115,743.83
  5. Step 5: Solve for x
    x = 115,743.83/293.23
  6. Step 6: Final answer
    x = 394.72

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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.