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Finding the Fourth Proportional to 370.27, 509.84 and 344.76

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Solution

The fourth proportional to 370.27, 509.84 and 344.76 is: 474.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.27 : 509.84 = 344.76 : x
  2. Step 2: Convert to fraction form
    370.27/509.84 = 344.76/x
  3. Step 3: Cross multiply
    370.27x = 509.84 × 344.76
  4. Step 4: Simplify right side
    370.27x = 175,772.03
  5. Step 5: Solve for x
    x = 175,772.03/370.27
  6. Step 6: Final answer
    x = 474.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.