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Finding the Fourth Proportional to 469.86, 704.92 and 195.81

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Solution

The fourth proportional to 469.86, 704.92 and 195.81 is: 293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.86 : 704.92 = 195.81 : x
  2. Step 2: Convert to fraction form
    469.86/704.92 = 195.81/x
  3. Step 3: Cross multiply
    469.86x = 704.92 × 195.81
  4. Step 4: Simplify right side
    469.86x = 138,030.39
  5. Step 5: Solve for x
    x = 138,030.39/469.86
  6. Step 6: Final answer
    x = 293.77

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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.