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Finding the Fourth Proportional to 465.33, 698.09 and 157.15

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Solution

The fourth proportional to 465.33, 698.09 and 157.15 is: 235.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.33 : 698.09 = 157.15 : x
  2. Step 2: Convert to fraction form
    465.33/698.09 = 157.15/x
  3. Step 3: Cross multiply
    465.33x = 698.09 × 157.15
  4. Step 4: Simplify right side
    465.33x = 109,704.84
  5. Step 5: Solve for x
    x = 109,704.84/465.33
  6. Step 6: Final answer
    x = 235.76

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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.