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Finding the Fourth Proportional to 293.20, 404.54 and 188.24

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Solution

The fourth proportional to 293.20, 404.54 and 188.24 is: 259.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.20 : 404.54 = 188.24 : x
  2. Step 2: Convert to fraction form
    293.20/404.54 = 188.24/x
  3. Step 3: Cross multiply
    293.20x = 404.54 × 188.24
  4. Step 4: Simplify right side
    293.20x = 76,150.61
  5. Step 5: Solve for x
    x = 76,150.61/293.20
  6. Step 6: Final answer
    x = 259.72

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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.