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Finding the Fourth Proportional to 395.31, 589.52 and 346.79

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Solution

The fourth proportional to 395.31, 589.52 and 346.79 is: 517.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.31 : 589.52 = 346.79 : x
  2. Step 2: Convert to fraction form
    395.31/589.52 = 346.79/x
  3. Step 3: Cross multiply
    395.31x = 589.52 × 346.79
  4. Step 4: Simplify right side
    395.31x = 204,434.96
  5. Step 5: Solve for x
    x = 204,434.96/395.31
  6. Step 6: Final answer
    x = 517.15

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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.