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Finding the Fourth Proportional to 427.61, 641.64 and 232.75

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Solution

The fourth proportional to 427.61, 641.64 and 232.75 is: 349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.61 : 641.64 = 232.75 : x
  2. Step 2: Convert to fraction form
    427.61/641.64 = 232.75/x
  3. Step 3: Cross multiply
    427.61x = 641.64 × 232.75
  4. Step 4: Simplify right side
    427.61x = 149,341.71
  5. Step 5: Solve for x
    x = 149,341.71/427.61
  6. Step 6: Final answer
    x = 349.25

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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.