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Finding the Fourth Proportional to 386.30, 576.48 and 345.29

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Solution

The fourth proportional to 386.30, 576.48 and 345.29 is: 515.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.30 : 576.48 = 345.29 : x
  2. Step 2: Convert to fraction form
    386.30/576.48 = 345.29/x
  3. Step 3: Cross multiply
    386.30x = 576.48 × 345.29
  4. Step 4: Simplify right side
    386.30x = 199,052.78
  5. Step 5: Solve for x
    x = 199,052.78/386.30
  6. Step 6: Final answer
    x = 515.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.