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Finding the Fourth Proportional to 295.72, 408.04 and 190.86

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Solution

The fourth proportional to 295.72, 408.04 and 190.86 is: 263.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.72 : 408.04 = 190.86 : x
  2. Step 2: Convert to fraction form
    295.72/408.04 = 190.86/x
  3. Step 3: Cross multiply
    295.72x = 408.04 × 190.86
  4. Step 4: Simplify right side
    295.72x = 77,876.51
  5. Step 5: Solve for x
    x = 77,876.51/295.72
  6. Step 6: Final answer
    x = 263.35

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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.