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Finding the Fourth Proportional to 469.31, 703.69 and 195.59

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Solution

The fourth proportional to 469.31, 703.69 and 195.59 is: 293.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.31 : 703.69 = 195.59 : x
  2. Step 2: Convert to fraction form
    469.31/703.69 = 195.59/x
  3. Step 3: Cross multiply
    469.31x = 703.69 × 195.59
  4. Step 4: Simplify right side
    469.31x = 137,636.00
  5. Step 5: Solve for x
    x = 137,636.00/469.31
  6. Step 6: Final answer
    x = 293.28

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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.