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Finding the Fourth Proportional to 315.68, 433.29 and 279.92

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Solution

The fourth proportional to 315.68, 433.29 and 279.92 is: 384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.68 : 433.29 = 279.92 : x
  2. Step 2: Convert to fraction form
    315.68/433.29 = 279.92/x
  3. Step 3: Cross multiply
    315.68x = 433.29 × 279.92
  4. Step 4: Simplify right side
    315.68x = 121,286.54
  5. Step 5: Solve for x
    x = 121,286.54/315.68
  6. Step 6: Final answer
    x = 384.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.