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Finding the Fourth Proportional to 427.53, 640.92 and 153.56

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Solution

The fourth proportional to 427.53, 640.92 and 153.56 is: 230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.53 : 640.92 = 153.56 : x
  2. Step 2: Convert to fraction form
    427.53/640.92 = 153.56/x
  3. Step 3: Cross multiply
    427.53x = 640.92 × 153.56
  4. Step 4: Simplify right side
    427.53x = 98,421.85
  5. Step 5: Solve for x
    x = 98,421.85/427.53
  6. Step 6: Final answer
    x = 230.21

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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.