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Finding the Fourth Proportional to 313.71, 432.82 and 189.33

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Solution

The fourth proportional to 313.71, 432.82 and 189.33 is: 261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.71 : 432.82 = 189.33 : x
  2. Step 2: Convert to fraction form
    313.71/432.82 = 189.33/x
  3. Step 3: Cross multiply
    313.71x = 432.82 × 189.33
  4. Step 4: Simplify right side
    313.71x = 81,945.34
  5. Step 5: Solve for x
    x = 81,945.34/313.71
  6. Step 6: Final answer
    x = 261.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.