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Finding the Fourth Proportional to 361.16, 537.63 and 344.39

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Solution

The fourth proportional to 361.16, 537.63 and 344.39 is: 512.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.16 : 537.63 = 344.39 : x
  2. Step 2: Convert to fraction form
    361.16/537.63 = 344.39/x
  3. Step 3: Cross multiply
    361.16x = 537.63 × 344.39
  4. Step 4: Simplify right side
    361.16x = 185,151.71
  5. Step 5: Solve for x
    x = 185,151.71/361.16
  6. Step 6: Final answer
    x = 512.67

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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.