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Finding the Fourth Proportional to 469.97, 705.05 and 195.92

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Solution

The fourth proportional to 469.97, 705.05 and 195.92 is: 293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.97 : 705.05 = 195.92 : x
  2. Step 2: Convert to fraction form
    469.97/705.05 = 195.92/x
  3. Step 3: Cross multiply
    469.97x = 705.05 × 195.92
  4. Step 4: Simplify right side
    469.97x = 138,128.89
  5. Step 5: Solve for x
    x = 138,128.89/469.97
  6. Step 6: Final answer
    x = 293.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.