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Finding the Fourth Proportional to 380.09, 572.73 and 313.12

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Solution

The fourth proportional to 380.09, 572.73 and 313.12 is: 471.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.09 : 572.73 = 313.12 : x
  2. Step 2: Convert to fraction form
    380.09/572.73 = 313.12/x
  3. Step 3: Cross multiply
    380.09x = 572.73 × 313.12
  4. Step 4: Simplify right side
    380.09x = 179,333.22
  5. Step 5: Solve for x
    x = 179,333.22/380.09
  6. Step 6: Final answer
    x = 471.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.