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Finding the Fourth Proportional to 295.91, 408.54 and 185.48

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Solution

The fourth proportional to 295.91, 408.54 and 185.48 is: 256.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.91 : 408.54 = 185.48 : x
  2. Step 2: Convert to fraction form
    295.91/408.54 = 185.48/x
  3. Step 3: Cross multiply
    295.91x = 408.54 × 185.48
  4. Step 4: Simplify right side
    295.91x = 75,776.00
  5. Step 5: Solve for x
    x = 75,776.00/295.91
  6. Step 6: Final answer
    x = 256.08

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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.