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Finding the Fourth Proportional to 380.31, 569.66 and 351.49

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Solution

The fourth proportional to 380.31, 569.66 and 351.49 is: 526.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.31 : 569.66 = 351.49 : x
  2. Step 2: Convert to fraction form
    380.31/569.66 = 351.49/x
  3. Step 3: Cross multiply
    380.31x = 569.66 × 351.49
  4. Step 4: Simplify right side
    380.31x = 200,226.61
  5. Step 5: Solve for x
    x = 200,226.61/380.31
  6. Step 6: Final answer
    x = 526.48

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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.