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Finding the Fourth Proportional to 293.12, 404.69 and 188.27

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Solution

The fourth proportional to 293.12, 404.69 and 188.27 is: 259.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.12 : 404.69 = 188.27 : x
  2. Step 2: Convert to fraction form
    293.12/404.69 = 188.27/x
  3. Step 3: Cross multiply
    293.12x = 404.69 × 188.27
  4. Step 4: Simplify right side
    293.12x = 76,188.02
  5. Step 5: Solve for x
    x = 76,188.02/293.12
  6. Step 6: Final answer
    x = 259.93

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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.