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Finding the Fourth Proportional to 427.32, 641.08 and 134.84

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Solution

The fourth proportional to 427.32, 641.08 and 134.84 is: 202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.32 : 641.08 = 134.84 : x
  2. Step 2: Convert to fraction form
    427.32/641.08 = 134.84/x
  3. Step 3: Cross multiply
    427.32x = 641.08 × 134.84
  4. Step 4: Simplify right side
    427.32x = 86,440.02
  5. Step 5: Solve for x
    x = 86,440.02/427.32
  6. Step 6: Final answer
    x = 202.28

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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.