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Finding the Fourth Proportional to 427.75, 641.69 and 153.80

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Solution

The fourth proportional to 427.75, 641.69 and 153.80 is: 230.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.75 : 641.69 = 153.80 : x
  2. Step 2: Convert to fraction form
    427.75/641.69 = 153.80/x
  3. Step 3: Cross multiply
    427.75x = 641.69 × 153.80
  4. Step 4: Simplify right side
    427.75x = 98,690.93
  5. Step 5: Solve for x
    x = 98,690.93/427.75
  6. Step 6: Final answer
    x = 230.72

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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.