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Finding the Fourth Proportional to 283.29, 389.82 and 274.83

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Solution

The fourth proportional to 283.29, 389.82 and 274.83 is: 378.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.29 : 389.82 = 274.83 : x
  2. Step 2: Convert to fraction form
    283.29/389.82 = 274.83/x
  3. Step 3: Cross multiply
    283.29x = 389.82 × 274.83
  4. Step 4: Simplify right side
    283.29x = 107,132.86
  5. Step 5: Solve for x
    x = 107,132.86/283.29
  6. Step 6: Final answer
    x = 378.17

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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.