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Finding the Fourth Proportional to 369.63, 553.81 and 308.68

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Solution

The fourth proportional to 369.63, 553.81 and 308.68 is: 462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.63 : 553.81 = 308.68 : x
  2. Step 2: Convert to fraction form
    369.63/553.81 = 308.68/x
  3. Step 3: Cross multiply
    369.63x = 553.81 × 308.68
  4. Step 4: Simplify right side
    369.63x = 170,950.07
  5. Step 5: Solve for x
    x = 170,950.07/369.63
  6. Step 6: Final answer
    x = 462.49

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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.