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Finding the Fourth Proportional to 427.76, 641.56 and 153.86

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Solution

The fourth proportional to 427.76, 641.56 and 153.86 is: 230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.76 : 641.56 = 153.86 : x
  2. Step 2: Convert to fraction form
    427.76/641.56 = 153.86/x
  3. Step 3: Cross multiply
    427.76x = 641.56 × 153.86
  4. Step 4: Simplify right side
    427.76x = 98,710.42
  5. Step 5: Solve for x
    x = 98,710.42/427.76
  6. Step 6: Final answer
    x = 230.76

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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.