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Finding the Fourth Proportional to 395.28, 589.47 and 346.76

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Solution

The fourth proportional to 395.28, 589.47 and 346.76 is: 517.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.28 : 589.47 = 346.76 : x
  2. Step 2: Convert to fraction form
    395.28/589.47 = 346.76/x
  3. Step 3: Cross multiply
    395.28x = 589.47 × 346.76
  4. Step 4: Simplify right side
    395.28x = 204,401.67
  5. Step 5: Solve for x
    x = 204,401.67/395.28
  6. Step 6: Final answer
    x = 517.11

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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.