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Finding the Fourth Proportional to 465.45, 697.26 and 282.30

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Solution

The fourth proportional to 465.45, 697.26 and 282.30 is: 422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.45 : 697.26 = 282.30 : x
  2. Step 2: Convert to fraction form
    465.45/697.26 = 282.30/x
  3. Step 3: Cross multiply
    465.45x = 697.26 × 282.30
  4. Step 4: Simplify right side
    465.45x = 196,836.50
  5. Step 5: Solve for x
    x = 196,836.50/465.45
  6. Step 6: Final answer
    x = 422.90

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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.